School of Basic Sciences

IIT Bhubaneswar Logo
Department of
Mathematics
School of Basic Sciences

Prof. Vasudeva Rao Allu

Professor
  • Office: 344, SBS
  • +91 674-713-5120
  • avrao@iitbbs.ac.in
  • Department of Mathematics
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Brief Resume
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Research Interests:
Complex Analysis, Geometric Function Theory, Harmonic Mappings in the Plane

Prof. Vasudeva Rao Allu has received an M.Sc. (Mathematics) from the University of Hyderabad, a Ph.D. from the Indian Institute of Technology Madras, and carried out his post-doctoral studies from the Technion-Israel Institute of Technology, Haifa, as well as from IIT Madras (with an NBHM Fellowship). Currently, Prof. Allu is a Professor of Mathematics at the Department of Mathematics, School of Basic Sciences, IIT Bhubaneswar. He was a visiting research scholar at the University of Turku, Finland (2007 and 2009) with the Distinguished CIMO (Center for International Mobility) Fellowship. Prof. Allu was a visiting faculty member at Yamaguchi University, Japan, in December 2011.

The Andhra Pradesh Association of Mathematics Teachers (A.P.A.M.T.) (2002) presented Prof. Allu with the Gold Medal and Aryabhatta Award for securing the state first rank in the Andhra Pradesh Mathematical Olympiad at the M.Sc. level. He received the Best Paper Presentation Award at the 22nd  Annual Conference of the Ramanujan Mathematical Society (2007). He has been selected for the International Congress of Mathematicians 2018-Open Arms Travel Grant. (2018) and the Chebyshev Grant from the International Congress of Mathematicians 2022.

Prof. Allu is a member of the Editorial Board of the Journal of Mathematical Inequalities (since 2021). Professor Allu received the Teaching Excellence Award from IIT Bhubaneswar in 2020 and 2023. He is an elected member of the London Mathematical Society (since 2018) and a member of the National Academy of Sciences, India (since 2019).

 

Education
 Degree Discipline Year School
  Post Doctoral Fellow Mathematics 2011 Technion-Israel Institute of Technology, Haifa, Israel
  Ph.D. Mathematics 2010 Indian Institute of Technology Madras
  M.Sc. Mathematics 2002 University Of Hyderabad
Autumn (2024-2025):
  • Introduction to Bharatiya Knowledge Traditions (IBKT) (B.Tech./First Year)
  • Real Analysis (MA5L002) (M.Sc.-1st  Semester);
  • Advanced Complex Analysis (M.Sc-3rd Semester/Ph.D.)

Spring (2024-2025):

  • Mathematics Pedagogy (ED2L002) (ITEP B.Sc. BEd. students-4th Semester)
  • Partial Differential Equations (B.Tech. 4th Semester)

Autumn (2024-2025):

  • Real Analysis (MA5L002) (M.Sc.-1st  Semester);
  • Advanced Complex Analysis (M.Sc-3rd Semester/Ph.D.)

Spring (2023-2024):

  • Partial Differential Equations (B.Tech. 4th Semester)

Autumn (2022-2023):

  • Transform Calculus (B.Tech. 3rd Semester)
  • Calculus of Analytic Geometry  (ITEP-B.Sc.-BEd. students of 1st  Semester)

Spring (2022-2023):

  • Mathematics -II (B.Tech. 2nd Semester)
  • Advanced Complex Analysis (M.Sc/Ph.D.)

Autumn (2022-2023):

  • Transform Calculus (B.Tech. 3rd Semester)
  • Functions of Several Variables (M.Sc. 3rd Semester)

Spring (2021-2022):

  • Mathematics -II (B.Tech. 2nd Semester)
  • Complex Analysis (M.Sc. 2nd Semester)

Autumn (2021-2022):

  • Mathematics -I (B.Tech. 1st Semester)
  • Functions of Several Variables (M.Sc. 3rd Semester)

Spring (2020-2021):

  • Mathematics-II (B.Tech. 1st Semester)
  • Advanced Complex Analysis (M.Sc./Ph.D.)

Autumn (2020-2021):

  • Mathematics -I (B.Tech. 1st Semester)

Spring (2019-2020):

  • Mathematics -II (B.Tech. 2nd Semester)
  • Advanced Complex Analysis (M.Sc/Ph.D.)

Autumn(2019-2020):

  • Mathematics -I (B.Tech. 1st Semester)
  • Differential Geometry (M.Sc. 4th Semester)

Summer Quarter (2018-2019):

  • Transform Calculus (B.Tech. 3rd Semester)

Spring (2018-2019): 

  • Mathematics-II ( B.Tech. 1st Semester)
  • Measure Theory and Integration (M.Sc./Ph.D.)
Ph.D. Completed :
1) Dr. Md. Firoz Ali (2017) (IIT Kharagpur)
     Title of Ph.D. thesis: Coefficient problems and geometric properties for certain analytic functions
     (Present Status: Assistant Professor at NIT Durgapur)
2) Dr. Nirupam Ghosh (2019) (Jointly with Prof. G.P. Raja Sekhar) (IIT Kharagpur)
    Title of Ph.D. thesis: Analytic and geometric characterizations of certain subclasses of harmonic functions
     (Present Status: Assistant Professor  at IIEST Shibpur)
3) Dr. Himadri Halder (2022) (IIT Bhubaneswar)
     Title of Ph.D. thesis: A study of Bohr phenomenon for complex-valued and operatorvalued functions
     (Present Status: Post-Doctoral Fellow at IIT Bombay)
4) Mr. Abhishek Pandey (PMRF) (2024)(IIT Bhubaneswar)
     Title of Ph.D. thesis:   A study on certain problems in univalent function theory and quasihyperbolic geometry
     (Defended PhD Thesis on  23-12- 2024)
Ph.D. Ongoing :
1)  Mr. Amal Shaji  (CSIR) Joined in January 2021
2) Mr. Rohit Kumar (CSIR) Joined in January 2021
3) Mr. Subhadip Pal (DST-Inspire) Joined in January 2021
4) Mr. Shobhit Kumar (CSIR) Joined in July 2021
5) Mr. Alan P. Jose (CSIR) Joined in January 2022
6) Mr. Dipon Kumar Mondal (UGC)  Joined in July 2023
Post-Doctoral Students: 
1) Dr. Molla Basir Ahamed ( Institute Post Doctoral Fellow) (Sept 2020 to May 2021)
     (Present Status: Assistant Professor at Jadavpur University)
2) Dr. Vibhuti Arora (Institute Post Doctoral Fellow)  (July 2021 to July 2022)
    (Present Status: Assistant Professor, NIT Calicut )
3) Dr. Satyajit Sahoo (Institute Post Doctoral Fellow) (since September 2024)
  • Editor, Journal of Inequalities and Applications (since 2023)
  • 2023: Teaching Excellence Award 2023, IIT Bhubaneswar
  • Received the Srinivasa Ramanujan Memorial Award for the Year 2022 by Ramanujan Mathematics Academy, Ramachandrapuram, AP
  • Selected for Chebyshev Grant from International Congress of Mathematicians 2022
  • Editor of the Journal of Mathematical Inequalities (2021)
  • Teaching Excellence Award 2020, IIT Bhubaneswar (2020)
  • Member of the National Academy of Sciences, India (2019)
  • Editor of the Bulletin of Mathematical Analysis and Applications (Since 2019)
  • Elected Member of the London Mathematical Society (Since 2018)
  • Selected for International Congress of Mathematicians 2018-Open Arms Travel Grant. (2018)
  • Post-Doctoral Fellowship at Technion-Israel Institute of Technology, Haifa, Israel (2010)
  • NBHM (Govt. of India) Post-Doctoral Fellowship (2010)
  • Distinguished CIMO Fellowship (Center for International Mobility), Finland (2007 and 2009)
  • The Best Paper Presentation Award at 22 nd Annual Conference of Ramanujan Mathematical Society (2007)
  • Gold Medal and Aryabhatta Award for securing State First Rank in Andhra Pradesh Mathematical Olympiad at M.Sc. level conducted by Andhra Pradesh Association of Mathematics Teachers (A.P.A.M.T.) (2002)
 Projects Completed):
1) Project: AICTE- Margdarshan Scheme
    Funding Agency: AICTE
    Mentor Institute: IIT Bhubaneswar
    Role: Chief-Coordinator
    Duration: 2024-2027 (Ongoing)
2) Title of the Project: A study of harmonic analogue of certain univalent
                                   and analytic functions
      Principal Investigator : Dr. Vasudeva Rao Allu
      Co-Principal-Investigators : None
      Funding Agency: SERB, MATRICS (Mathematical Research Impact
                                 Centric Support)
     Duration:  2020-2022  (Completed)
3) Title of the Project: An enquiry into the problems in Geometric Function 
                                   Theory
     Principal Investigator : Dr. Vasudeva Rao Allu
     Co-Principal-Investigators : None
     Funding Agency: SERB, CRG (Core Research Grant)
     Duration:  2021-2023 (Completed)
4)  Title of the project : Certain conjectures on univalent and
                                             harmonic mappings
    Principal Investigator : Dr. Vasudeva Rao Allu
     Co-Principal-Investigators : None
     Funding Agency : SERB, Govt. of India (under the scheme
                                  “Start Up Research Grant (Young Scientist))”
     Cost of the Project : Rs. 15,30,100/-
     Status : Completed
5) Title of the project: Problems and Conjectures in Geometric
                              Function Theory 
   Principal Investigator : Dr. Vasudeva Rao Allu
    Co-Principal-Investigators : None
    Funding Agency : NBHM “(Department of Atomic Energy), Govt. of India
    Cost of the Project : Rs. 1,50,0000/–
    Status: Completed
6) Title of the project: Coefficient bounds, distrotion condition or
                                   subclasses of univalent functions and Nitsche type
                                   conjectures for harmonic univalent functions
    Principal Investigator : Dr. Vasudeva Rao Allu
    Co-Principal-Investigators : None
    Funding Agency : ISIRD, SRIC, IIT Kharagpur
    Cost of the Project : Rs. 3,70,000/-
    Status: Completed
  1. Vasudevarao Allu and Vibhuti Arora, On the difference of Initial Successive coefficients of Inverse functions, Bulletin of the Malaysian Mathematical Sciences Society (Accepted for publication) (2025)
  2. Molla Basir Ahamed and Vasudevarao Allu, On an open problem of value sharing and differential equations, Proceedings of the Edinburgh Mathematical Society (2025) Published online 2025:1-27. doi:10.1017/S0013091524000403
  3. Vasudevarao Allu and Rohit Kumar, The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $mathbb{C}^n$, Annales Fennici Mathematici 50 (2025), 215-229.
  4. Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum 37 (2025), 987–995. https://doi.org/10.1515/forum-2023-0425
  5. Molla Basir Ahamed and Vasudevarao Allu​, On an open problem of value sharing and differential equations​, Proceedings of the Edinburgh Mathematical Society​ (2024) (Accepted for publication)
  6. Vasudevarao Allu and Amal Shaji, The sharp bound of the second Hankel determinant for starlike and convex functions, Bulletin of the Australian Mathematical Society (2024) (Accepted for publication)
  7. Molla Basir Ahamed and Vasudevarao Allu, Dynamical behavior of meromorphic solutions for certain complex difference equations, Contemporary Mathematics (American Mathematical Society) (2024) (Accepted for publication)
  8. Vasudevarao Allu and Abhishek Pandey, Neargeodesics in Gromov hyperbolic John domains in Banach spaces, Annales Fennici Mathematici (2024)(Accepted for publication)
  9. Vasudevarao Allu, Himadri Halder and Subhadip Pal, Arithmetic Bohr radius for the Minkowski space, Forum Mathematicum (2024) Accepted for publication
  10. Vasudevarao Allu and Himadri Halder, Bohr phenomenon for harmonic Bloch functions, Analysis Mathematica (Accepted for publication) (2024)
  11. Vasudevarao Allu and Abhishek Pandey, On the Generalized Zalcman Conjecture, Annali di Matematica Pura ed Applicata (1923 -) (2024). https://doi.org/10.1007/s10231-024-01461-z
  12. Vasudevarao Allu and Amal Shaji, The second Hankel determinant for logarithmic inverse coefficients of convex and starlike functions, Bulletin of the Australian Mathematical Society (2024) (Accepted for publication)
  13. Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, An Asymptotic behaviour of Bohr’s Radii for Polynomials on simply connected domains, C. R. Math. Acad. Sci. Paris (2024) Accepted for publication
  14. Vasudevarao Allu and Rohit Kumar, Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings, Journal of Mathematical Analysis and Applications (Accepted for publication) (2024)
  15. Vasudevarao Allu and Navneet Lal Sharma, On logarithmic coefficients for classes of analytic functions associated with convex functions, Bulletin des Sciences Mathématiques (2024)(Accepted for publication)
  16. Vasudevarao Allu and Himadri Halder, Landau’s theorem for harmonic Bloch functions on simply connected domains, Complex Variables and Elliptic Equations (2023) Accepted for publication
  17. Vasudevarao Allu and Himadri Halder, Bohr radius for Banach spaces on simply connected domains, Proceedings of the Edinburgh Mathematical Society (Accepted for publication) (2023) DOI: https://doi.org/10.1017/S0013091523000688
  18. Molla Basir Ahamed and Vasudevarao Allu, Improved Bohr inequalities for certain classes of harmonic mappings, Journal of Ramanujan Mathematical Society (Accepted for publication) (2023)
  19. Molla Basir Ahamed and Vasudeva Rao Allu, Transcendental solutions of Fermat-type functional equations in $ \mathbb{C}^n $, Analysis and Mathematical Physics 13(2023), no.5, Paper No. 69, 17 pp.
  20. Vasudevarao Allu and Himadri Halder, Bohr operator on operator valued polyanalytic functions on simply connected domains, Canadian Mathematical Bulletin (2023) (Accepted for publication)
  21. Molla Basir Ahamed and Vasudevarao Allu, Harmonic analogue of Bohr phenomenon of certain classes of univalent and analytic functions, Mathematica Scandinavica (Accepted for publication) (2023)
  22. Vasudevarao Allu and Nirupam Ghosh, Bohr type inequality for Cesaro and Bernardi integral operator on simply connected domain, Proc. Indian Acad. Sci. 133(2023), no.2, Paper No. 22, 10 pp.
  23. Vasudevarao Allu and Vibhuti Arora, Second Hankel determinant of logarithmic coefficients of certain analytic functions, Rocky Mountain Journal of Mathematics (Accepted for publication) (2023)
  24. Vasudeavarao Allu, Vibhuti Arora and Amal Shaji, On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions, Mediterranean Journal of Mathematics 20 (2023), no. 2, Paper No. 81, 10 pp
  25. Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, Improved Bohr inequalities for certain class of harmonic univalent functions, Complex Variables and Elliptic Equations 68(2023), 267–290.
  26. Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski radius for a certain class of close-to-convex harmonic mappings, Canadian Mathematical Bulletin (2023) (To appear),doi: https://doi.org/10.4153/S0008439523000115
  27. Vasudevarao Allu, Himadri Halder and Subhadip Pal, Bohr and Rogosinski inequalities for operator valued holomorphic functions, Bulletin des Sciences Math 182 (2023) 103214.
  28. Vasudevarao Allu and Vibhuti Arora, Bohr-Rogosinski type inequalities for concave univalent functions, Journal of Mathematical Analysis and Applications 520 (2023) no.1, Paper No. 126845, 14 pp.
  29. Daoud Bshouty, Abdallah Lyzzaik, Antti Rasila and Allu Vasudevarao, Moduli of doubly connected domains under univalent harmonic maps, The Journal of Geometric Analysis, (2022) 32:152 , DOI: 10.1007/s12220-022-00895-2
  30. Vasudevarao Allu and Himadri Halder, Operator valued analogues of multidimensional Bohr’s inequality, Canadian Mathematical Bulletin 65 (2022), DOI: https://doi.org/10.4153/S0008439521001077
  31. Vasudevarao Allu and Himadri Halder, The Bohr inequality for certain harmonic mappings, Indagationes Mathematicae 33 (2022), 581–597.
  32. Vasudevarao Allu and Himadri Halder, Bohr phenomenon for certain close-to-convex analytic functions, Computational Methods and Function Theory 22 (2022), 491–517.
  33. Molla Basir Ahamed and Vasudevarao Allu, Bohr phenomenon for certain classes of harmonic mappings, Rocky Mountain Journal of Mathematics 52(2022), 1205-1225.
  34. Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-II, Bulletin of the Australian Mathematical Society 105 (2022), 468 — 481.
  35. Vasudevarao Allu, Adam Lecko and Derek Keith Thomas, Hankel, Toeplitz and Hermitian-Toeplitz determinants for certain Close-to-convex Functions, Mediterranean Journal of Mathematics 19 (2022), no. 1, Paper No. 22, 17, https://doi.org/10.1007/s00009-021-01934-y
  36. Molla Basir Ahamed and Vasudevarao Allu, Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings, Bulletin of the Malaysian Mathematical Sciences Society 45 (2022), 1913–1927.
  37. Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, An application of Schur algorithm to variability regions of certain analytic functions-I. Computational Methods and Function Theory 22 (2022), 35–54.
  38. Vasudevarao Allu and Himadri Halder, The Bohr phenomenon for certain Subclasses of Harmonic Mappings, Bulletin des Sciences Mathématiques 173 (2021), Paper No. 103053, 18 pp., https://doi.org/10.1016/j.bulsci.2021.103053
  39. Molla Basir Ahamed, Vasudevarao Allu and Himadri Halder, The Bohr Phenomenon for analytic functions on simply connected domains, Annales Fennici Mathematici 47(2021), 103–120.
  40. Molla Basir Ahamed, Vasudevarao Allu, and Himadri Halder, Bohr radius for certain classes of close-to-convex harmonic mappings, Analysis and Mathematical Physics 11 (2021), no. 3, Paper No. 111, 30 pp. doi:10.1007/s13324-021-00551-y
  41. Vasudevarao Allu and Abhishek Pandey, Support points of some classes of analytic and univalent functions, C. R. Math. Acad. Sci. Paris 359 (2021), 465–473.
  42. Vasudevarao Allu and Himadri Halder, Bohr radius for certain starlike and convex univalent functions, Journal of Mathematical Analysis and Applications 493(2021), 124519.
  43. Vasudevarao Allu and Abhishek Pandey, Zalcman Conjecture for certain analytic and univalent functions, Journal of Mathematical Analysis and Applications 492(2020), 124466.
  44. Md. Firoz Ali, Vasudevarao Allu and Nirupam Ghosh, A convolution property of univalent harmonic right half mappings, Monatshefte für Mathematik 193(2020),729-736.
  45. Md. Firoz Ali, A. Vasudevarao and H. Yanagihara, On a class of univalent functions defined by a differential inequality, Journal of Ramanujan Mathematical Society 35 (2020), 217-226.
  46. Vasudevarao Allu, Janusz Sokol and Derek K Thomas, On a close-to-convex analogue of certain starlike functions, Bulletin of the Australian Mathematical Society 102(2020), 268-281.
  47. Nirupam Ghosh and Vasuevarao Allu, On some subclass of harmonic mappings, Bulletin of the Australian Mathematical Society 101(2020), 130–140.
  48. Md Firoz Ali and Vasudevarao Allu, Coefficient estimates and integral mean estimates for certain classes of analytic functions, C. R. Math. Acad. Sci. Paris 357 (2019), 436-442.
  49. Nirupam Ghosh and A. Vasudevarao, The radii of fully starlikeness and fully convexity of a harmonic operator, Monatshefte für Mathematik 188 (2019) 653–666.
  50. Nirupam Ghosh and A. Vasudevarao, On some subclass of harmonic close-to-convex mappings, Monatshefte für Mathematik 188(2019), 247–267.
  51. Vasudevarao Allu, Derek K. Thomas and Nikola Tuneski, On Ozaki close-to-convex functions, Bulletin of the Australian Mathematical Society 99(2019), 89–100.
  52. Samiran Chakraborty and Allu Vasudevarao, On Stable Functions, Computational Methods and Function Theory 18(2018), 677–688.
  53. Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao, Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1
  54. Md Firoz Ali and A. Vasudevarao, On Certain Families of Analytic Functions in the Hornich Space, Computational Methods and Function Theory 18(2018), 643–659.
  55. Nirupam Ghosh and A. Vasudevarao, Some basic properties of certain subclass of harmonic univalent functions, Complex Variables and Elliptic Equations 63 (2018), 1687–1703.
  56. U. Pranav Kumar and A. Vasudevarao, Logarithmic coefficients for certain subclasses of close-to-convex functions, Monatshefte für Mathematik 187(2018), 545–563.
  57. Md Firoz Ali, D. K. Thomas, and A. Vasudevarao, Toeplitz determinants whose elements are the coefficients of analytic and univalent functions, Bulletin of the Australian Mathematical Society 97(2)(2018), 253–264.
  58. Md Firoz Ali and A. Vasudevarao, On logarithmic coefficients of some close-to-convex functions, Proceedings of the American Mathematical Society 146(3)(2018), 1131–1142.
  59. Md Firoz Ali and A. Vasudevarao, Logarithmic coefficients of some close-to-convex functions, Bulletin of the Australian Mathematical Society 95 (2017), 228–237.
  60. Md Firoz Ali and A. Vasudevarao, On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions, Proceedings of the Indian Academy Of Science (Math. Sci.) 127(3)(2017), 449–462.
  61. Nirupam Ghosh and A. Vasudevarao, Coefficient estimates for certain subclass of analytic functions defined by subordination, Filomat 31(11) (2017), 3307-3318.
  62. A. Vasudevarao, Fekete–Szegö inequality for certain spiral-like functions, C. R. Math. Acad. Sci. Paris 354 (2016), 1065–1070,
  63. M. Okada, S. Ponnusamy, A. Vasudevarao and H. Yanagihara Circular symmetrization, subordination and arclength problems on convex functions, Mathematische Nachrichten 289 (2016), 1044–1051
  64. Md Firoz Ali and A. Vasudevarao, Coefficient inequalities and Yamashitas conjecture for some classes of analytic functions, Journal of the Australian Mathematical Society 100(1) (2016), 1-20.
  65. A.Vasudevarao, Fekete-Szegö problem for certain subclasses of univalent functions, Bulletin of the Korean Mathematical Society 52 (6)(2015), 1937–1943
  66. Md Firoz Ali and A. Vasudevarao, Integral Means and Dirichlet integral for certain class of analytic function, Journal of the Australian Mathematical Society 99(3)(2015), 315–333.
  67. A. Vasudevarao, An Arclength problem for some subclasses of m-fold symmetric functions, Mathematica (Cluj) 56(79)(2014), 182-192.
  68. A. Vasudevarao, An arclength problem for some subclasses of univalent functions, The Journal of Analysis 22 (2014), 145-149.
  69. A. Vasudevarao, Region of variability for some subclasses of univalent functions, Springer Proc. Math. Stat. 91 (2013), 151–170,
  70. A. Vasudevarao and Hiroshi Yanagihara, On the growth of analytic functions in the class ${mathcal U}(lambda )$, Computational Methods and Function Theory 13(4) (2013), 613–634.
  71. S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for exponentiall convex functions, Complex Analysis and Operator Theory 5(3) (2011), 955–966.
  72. S. Ponnusamy and A. Vasudevarao, Region of variability for functions with positive real part, Annales Polonici Mathematici 99(3)(2010), 225–245.
  73. S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions-II, Applied Mathematics and Computation 215(3)(2009), 901–915.
  74. S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for certain classes of univalent functions satisfying differential inequalities, Complex Variables and Elliptic Equations 54(10)(2009), 899–922.
  75. S. Ponnusamy, A. Vasudevarao and M. Vuorinen, Region of variability for spirallike functions with respect to a boundary point, Colloquium Mathematicum 116(1)(2009), 31–46.
  76. S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability of univalent functions $ f(z)$ for which $ zf'(z)$ is spirallike, The Houston Journal of Mathematics 34(4) (2008), 1037–1048.
  77. S. Ponnusamy, A. Vasudevarao and H. Yanagihara, Region of variability for close-to-convex functions, Complex Variables and Elliptic Equations 53(8)(2008), 709 — 716.
  78. S. Ponnusamy and A. Vasudevarao, Region of variability of two subclasses of univalent functions, The Journal of Mathematical Analysis and Applications 332 (2007), 1323–1334.
Book

Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao,Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1.

Conferences (International)

  1. Invited talk “Bohr radius for Banach spaces on Simply Connected Domains” at Conformal Mappings and Value Distribution Theory-2025 held at Yamaguchi University, Ube, Japan, during February 15–16, 2025.
  2. Invited talk, “Landau-Bloch Theorems for harmonic mappings in higher dimensions” at Tohoku Complex Analysis Seminar, Graduate School of Information Sciences, Tohoku University, Japan on 12-02-2025.
  3. Invited talk “Bohr radius for Banach spaces on simply connected domains” at 11th International Conference on Mathematics and Computing (ICMC 2025) at IIT Bhilai during January 9-11, 2025.
  4. Invited talk “The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in $\mathbb{C}^n$” at International Conference on Special functions, Analytic functions, Metrics and quasiconformalitY (ICSAMY 2024), December 17-20, 2024, IIT Indore
  5. Attended ICMAM Latin America 2024 (International Community of Mathematicians from Latin America) during October 14th-18th, 2024 sponsored by IMU and International Society for Analysis its Applications and Computation (virtual mode)
  6. Invited talk “Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings” at International Conference on Complex Analysis and Computational Fluid Dynamics (ICCACFD 2024)” organized by KIIT Deemed to be University, Bhubaneswar during February 16-18, 2024
  7. Invited talk “Bohr radius for Banach spaces on simply connected domains” at Interactions in Several Complex Variables (workshop & conference) held at IISER Pune during December 11-15, 2023
  8. Prof. Bhavanari Satyanarayana, Prof. Sreedharamalle Sreenadh and Prof. Thota Srinivas Endowment lecture “ On Bohr phenomenon in Geometric Function Theory” at 32nd Annual congress of Andhra Pradesh and Telangana Society for Mathematical Sciences (APTSMS) & International Conference on Computational Modeling in Science and Engineering (ICCMSE-2023), NIT Warangal, 28–30th October 2023.
  9. Invited talk “On Bohr Inequality for Operator-valued Analytic Functions” at the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (The 29th ICFIDCAA–2023) organized by Department of Mathematics Ramanujan School of Mathematical Sciences Pondicherry University, August 21-25, 2023.
  10. Invited talk “On Bohr phenomenon” at International Workshop on Geometric Function Theory (IWGFT 2023), Organized by Department of Mathematics, IIT Madras, August 18-20, 2023
  11. Participated in The Current Developments in Mathematics (CDM) conference jointly hosted by Harvard University and the Massachusetts Institute of Technology (MIT) (through virtual mode), from 2022-03-18 to 2022-03-19.
  12. Invited talk: Bohr radius for Banach spaces on simply connected domains, Computational Methods in Function Theory (CMFT), The Federico Santa Mar­ia Technical University in Valparaiso, Chile, January 10-14, 2022.
  13. Plenary talk “Bohr phenomenon for harmonic Bloch functions on simply connected domains” (with Himadri Halder) at VIII International Conference of Mathematics and Computer Science “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during September 19 to 25, 2022.
  14. Invited Talk: The Bohr phenomenon for Banach Spaces at Wuerzburg Complex Analysis Seminar, University of Wuerzburg, Germany on February 4th, 2022.
  15. Plenary talk “The Bohr phenomenon for certain analytic and univalent functions” at the VI Conference of Mathematics and Computer Science, “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during November 21 to 22; 28 to 29, 2020.
  16. Plenary talk “On the Third Logarithmic Coefficient of Close-to-convex Functions” (with Md Firoz Ali and D.K. Thomas) at V International Conference of Mathematics and Computer Science “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during September 23 to 25, 2018.
  17. Short Communication at Certain subclasses of harmonic univalent mappings (with Nirupam Ghosh) in Short Communication at International Congress of Mathematicians (ICM 2018), Rio de Janeiro (Brazil) during August 1 to 9, 2018.
  18. Invited talk “On the Growth of Some Subclasses of the Class of Univalent Functions” at International Symposium in Geometric Function Theory and Applications at Isik University, Turkey during August 26-September 4, 2013.
  19. Invited talks “On region of variabilities for family of analytic functions” at the Department of Applied Sciences, Yamaguchi University, Ube, Japan during December 19 to 23, 2011.
  20. Short Communication “Region of variability for spirallike functions with respect to a boundary point” at International Congress of Mathematicians (ICM 2010) at Hyderabad, August 19 to 27, 2010.
  21. Invited talk “Region of variability for functions with positive real part” at ICM 2010-Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, August 09-17, 2010.
  22. Invited talk “Region of variability for functions with positive real part” in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 28, 2009.
  23. Invited talk “Region of variability and Fekete Szego problem for exponentially convex univalent functions” in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 14, 2009.
  24. Invited talk “Region of variability for exponentially convex univalent functions” at International conference on Complex Analysis and Related Topics, 12th Romannian-Finnish Seminar at University Turku, Finland, August 17-21, 2009.
  25. Invited talk “Region of variability for exponentially convex univalent functions” in Turku Analysis seminar at Department of Mathematics, University of Turku, Finland on August 07, 2009.
  26. Invited talk “Certain classes of univalent functions and radius problems” in Turku Analysis Seminar at Department of Mathematics, University of Turku, Finland on January 30, 2008.
  27. Invited talk “Region of variability for certain classes of univalent functions satisfying differential inequalities” at Finnish Mathematical Days 2008 at Helsinki University of Technology, Helsinki, Finland, January 3-4, 2008.

Conferences (National)

  1. Invited talk “ Applications of Mobious Transformations in Data Science” at the Faculty Development Program: “The Role of Data Science in Computational Mathematics” at GMR Institute of Technology, Rajam, Andhra Pradesh during May 5–9, 2025.
  2. Invited talk “ On Logarithmic coefficients” at Gayatri Vidya Parishad Prof . V. Lakshmikantham Institute for Advanced Studies (GVP-LIAS), Visakhapatnam, Andhra Pradesh on 30-04-2025
  3. Delivered a series of lectures in a Compact Course on “Differential Equations” at Gayatri Vidya Parishad College of Engineering for Women, during March 17-19, 2025, sponsored by Professor R. Balakrishnan Endowment Trust (RBET), Tiruchirappalli and the (Indian) Mathematics Consortium (TMC), Pune.
  4. Delivered lectures on “ An introduction to three-dimensional Geometry” at “Training of Science Teachers of Navodaya Vidyalaya Samiti” held at IIT Bhubaneswar from 10-12-2024 to 14-12-2024.
  5. Invited talk “Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings” at Complex Analysis Symposium of 39th Annaul Ramanujan Mathematical Society, December 27–29, 2024 organized at Christ (Deemed to be University), Bangalore.
  6. Invited talk “An infinite product representation of meromorphic functions” at a two day Workshop on “Complex Analysis and its Applications -2024” organised by Gati Shakti Vishwavidyalaya Vadodara (A Central University sponsored by the Ministry of Railways, Govt. of India), during from February 23-24, 2024
  7. Invite talk “Bohr radius for certain classes of analytic and harmonic mappings” at IIT Tirupathi on 18-11-2022.
  8. Invited lectures at “Annual Foundation School- I (AFS-I) at the Department of Mathematics, National Institute of Technology Durgapur, during December 12, 2022 to January 7, 2023.
  9. Invited talk “Bohr and Rogosinski inequalities for operator valued holomorphic functions” in the Symposium Complex Analysis of 37th Annual Conference of Ramanujan Mathematical Society during 06 – 08, December 2022.
  10. Invited Talk: On logarithmic coefficients problem for univalent functions, One Day International Symposium on Mathematical Analysis on the occasion of National Mathematics Day (134th Birth Anniversary of Srinivasa Ramanujan) Amity University, Haryana 22-12-2022.
  11. Participated 36th Annual Conference of Ramanujan Mathematical Society from 2021-08-04 to 2021-08-07 (Attend through Virtual conference mode)
  12. Invited talk: Bohr radius for certain classes of analytic and harmonic mappings, Faculty Development Program(FDP) on Mathematical Approaches in Science and Engineering?, Koneru Lakshmaiah Education Foundation (deemed to be University), 11-02-2021
  13. Participated 35th Annual Conference of Ramanujan Mathematical Society from 2020-12-28 to 2020-12-30 (Attend through Virtual conference mode)
  14. Participated 35th Ramanujan Mathematical Society (RMS) Pre-Conference Symposium on Complex Analysis organised by Central University, Rajasthan from 2020-12-27 to 2020-12-27 (Attend through Virtual conference mode)
  15. Invited talk: On logarithmic coefficients of some close-to-convex functions at International Webinar on Recent Trends in Geometric Function Theory & Applications (RTGFTA-2020), September 18-21, 2020 KIIT Deemed to be University, Bhubaneswar.
  16. Talk “Region of variability for certain subclasses of univalent functions” (Awarded for the Best Paper Presentation Award) at , 22nd Annual conference of Ramanujan Mathematical Society at the Department of Mathematical and Computational Sciences, National Institute of Technology Surathkal, India during June 6-8, 2007.

1. Reviewer of Mathematical Reviews of American Mathematical Society (Since 2009); 2. Reviewer of Zentralblatt (Since 2010)

Service outside of IIT Bhubaneswar

Member of Boar of studies

1) Member of Board of Studies, Department of Basic Science and Humanities, Avanthi Institute of Engineering and Technology

(Autonomous),  Vizianagaram (Dist), Andhra Pradesh (2024-2025)

2) Member of Board of Studies, Department of Mathematics, GIET University, Gunupur, Odisha. (Since 2023)

Other Responsibilities at IIT Bhubaneswar

1) Member of the Faculty Search Committee for Visiting Faculty of foreign Orign (Mathematics)

2) Coordinator of the Colloquium (Mathematics)

3) Coordinator of the Research Scholoars (Mathematics)

4) Coordinator of PMRF for School of Basic Sciences

5) Member of RPEC (Research Programme Evaluation Committee) (Since May 2021)

6) Faculty Advisor for M.Sc. (Mathematics) (2019-2021)

Professional Membership

  1. Member, National Academy of Sciences, India (2019)
  2. Elected Member,  London Mathematical Society (Since November 2018
  3. Member, American Mathematical Society (Since January 2011)
  4. Life Member,  Indian Mathematical Society, India
  5. Life Member, Ramanujan Mathematical Society, India
  6. Life Member,  Forum de’ Analystes, India

Professional Services

  1. Reviewer of Mathematical Reviews of American Mathematical Society   (Since 2009)
  2. Reviewer of Zentralblatt  (Since 2010)

Fellowships

  1. Post-Doctoral Fellowship at Technion-Israel Institute of Technology, Haifa,  Israel. (2010)
  2. NBHM Post-Doctoral Fellowship, (Department of Atomic Energy (DAE),  Govt. of India) (2010)
  1. Distinguished  CIMO (Center of International Mobility) Fellowship  from Ministry of  Education, Finland  ( 2007)
  1. NBHM Senior Research Fellowship at Department of Mathematics,  IIT Madras. (2010)

Book

Derek K. Thomas, Nikola Tuneski and Allu Vasudevarao,Univalent Functions: A Primer, De Gruyter Studies in Mathematics, 69, De Gruyter, Berlin, Boston, 2018, xiii+252 pp, ISBN 978-3-11-056096-1.

Research Visits

  1.  Visited   the Department of Applied Sciences, Yamaguchi University,  Ube, Japan during Febraury 15–19, 2025.
  2.  Visiting  the Department of Mathematics, Tohoku University,  Sendai, Japan during February 12–14, 2025
  3. Visiting Assistant Professor at the Department of Applied Sciences, Yamaguchi University,  Ube, Japan during December 11–25, 2011.
  4. Post-Doctoral Fellow at Technion-Israel Institute of Technology, Haifa, Israel  from September 04, 2010 to January 31, 2011.
  5. Visiting Research Scholar at the Department of mathematics, University of Turku, Finland   from August 03, 2009 to September 30, 2009.
  6. Visited ‘‘1 December 1918’’University of Alba Iulia, Romania for presenting the paper entitled “Regions of variability for certain subclasses of univalent functions” at International conference on Complex Analysis and Related Topics, 11th Romannian-Finnish Seminar from August 14–19, 2008.
  7. Visiting Research Scholar at the Department of mathematics, University of Turku, Finland from November 01, 2007 to February 28, 2008.

Projects:

Ongoing Project:

1) Title of the Project: A study of harmonic analogue of certain univalent and analytic functions

Funding Agency: SERB, MATRICS (Mathematical Research Impact Centric Support)

Duration:  2020-2022.

2) Title of the Project: An enquiry into the problems in Geometric Function Theory

Funding Agency: SERB, CRG (Core Research Grant)

Duration:  2021-2023.

Completed  Projects:

1)  Title of the project : Certain conjectures on univalent and harmonic mappings

Principal Investigator : Dr. Vasudeva Rao Allu

Co-Principal-Investigators : None

Funding Agency : SERB, Govt. of India (under the scheme “Start Up Research Grant (Young Scientist))”

Cost of the Project : Rs. 15,30,100/-

Status : Completed

2) Title of the project: Problems and Conjectures in Geometric Function Theory 

Principal Investigator : Dr. Vasudeva Rao Allu

Co-Principal-Investigators : None

Funding Agency : NBHM “(Department of Atomic Energy), Govt. of India

Cost of the Project : Rs. 1,50,0000/–

Status: Completed

 

3) Title of the project: Coefficient bounds, distrotion condition or subclasses   of univalent functions and Nitsche type conjectures for  harmonic univalent functions

Principal Investigator : Dr. Vasudeva Rao Allu

Co-Principal-Investigators : None

Funding Agency : ISIRD, SRIC, IIT Kharagpur

Cost of the Project : Rs. 3,70,000/-

Status: Completed

 

Supervision of the Students

Ph.D. Completed :

1) Dr. Md. Firoz Ali (2017) (IIT Kharagpur)

(Present Status: Assitant Professor at NIT Durgapur)

2) Dr. Nirupam Ghosh (2019) (Jointly with Prof. G.P. Raja Sekhar) (IIT Kharagpur)

(Present Status: Post-Doctoral Fellow at ISI Bangalore)

3) Dr. Himadr Halder (2022) (IIT Bhubaneswar) (Defended Ph.D. thesis on 26-10-2022)

Ph.D. Ongoing :

1) Mr. Abhishek Pandey (PMRF) Joined in January 2020

2) Mr. Amal Shaji  (CSIR) Joined in January 2021

3) Mr. Rohit Kumar (CSIR) Joined in January 2021

4) Mr. Subhadip Pal (DST-Inspire) Joined in January 2021

5) Mr. Shobhit Kumar (CSIR) Joined July 2021

6) Mr. Alan P. Jose (CSIR) Joined January 2022

Post-Doctoral Fellow: 

1) Dr. Molla Basir Ahamed ( Institute Post Doctoral Fellow) (Sept 2020 to May 2021)

(Present Status: Assistant Professor at Jadavpur University)

2) Dr. Vibhuti Arora (Institute Post Doctoral Fellow)  (July 2021 to July 2022)

 

M.Sc. students:

  1. Mr. Manotosh Mandal (10MA40014) [IIT Kharagpur] (2012)

Title of the project: Polynomial coefficients of entire series

Present Position:  Working in Govt. Degree College, West Bengal

  1. Dr. Neelam Singha (11MA40012) [IIT Kharagpur] (2013)

Title of the project: A study on harmonic mappings in the plane and Fekete-Szeg¨o inequality for some

subclasses of univalent functions

Present Position:  Completed Ph.D. at  IIT Kharagpur in 2018

  1. Dr. Sushil Kumar Bhuiya (11MA40026) [IIT Kharagpur] (2013)

Title of the project: An Arclength problem for subclass of univalent function

Present Position:  Persuing Ph.D. at  IIT Kharagpur

  1. Dr. Gurmeet Kaur (12MA40006) [IIT Kharagpur] (2014)

Title of the project: On The study of coefficients and inverse coefficients for some subclasses   of univalent functions                                                                                                                                                   

                                   (Awarded for the Best Project in 2014)

Present Position:  Persuing Ph.D. at  IIT Kharagpur

  1. Dr. Meraj Alam (12MA40012) [IIT Kharagpur] (2014)

Title of the project: On neighbourhoods of some subclasses of class of univalent functions

Present Position:  Persuing Ph.D. at IIT Kharagpur

  1. Mr. Ravi Dhiman (14MA40007) [IIT Kharagpur] (2016)

Title of the project: Quasiconformal Mappings in Plane Domain

Present Position:  Persuing MS(Computer Science) at IIT Kharagpur

  1. Mr. Samiran Chakraborty (14MA40023) [IIT Kharagpur] (2016)

Title of the project: Quasiconformal Mappings in a Plane

Present Position:  Persuing Ph.D. at IIT Kharagpur

  1. Mr.Supriya Bhunia (15MA40024) [IIT Kharagpur] (2017)

Title of the project: An Introduction to Harmonic Mappings in the Plane

Present Postion: Persuing PhD at Vidyasagar University, West Bengal

  1. Mr. Vikas Jaiswal [IIT Bhubaneswar] (2020)
  2. Mr. Bhushan Bhise [IIT Bhubaneswar]  (2020)
  3. Mr. Parameswar Gupta [IIT Bhubaneswar] (2021)
  4. Mr. Raja Dutta [IIT Bhubaneswar] (2022)

Title of the project: Univalent functions and introduction to logarithmic coefficients

  1. Ms. Aanchal Agarwal [IIT Bhubaneswar] (2022)

Title of the project: Bohr’s phenomenon for subordinating class and Banach spaces.

  1. Mr.Soumyajit Acharyya (On going)
  2. Mr. Dattatreya Biswas (On going)

Under graduate students:

  1. Mr. Pranav Kumar Upadrashta, (11ME10040) [BTP, IIT Kharagpur] (2016)

Title of the project: On the logarithmic coefficients of certain subclasses of univalent functions

Present Position:  Completed MS at Central Michigan University, USA and now persuing Ph.D.

Summer Project students:

  1. Mr.Diship Srivastava (11CY20015) [KVPY Fellow, IASc Bangalore]
  2. Mr. Diship Srivastava (11CY20015) [Summer Internship, IIT Kharagpur]
  3. Mr.Pranav Kumar Upadrashta [Summer Project, IIT Kharagpur]
  4. Mr.Nirmal Barick, NIT Rourkela [Summer Project, IIT Bhubaneswar]
  5. Ms. S. Sri Lalitha, Pondicherry University [Summer Project, IIT Bhubaneswar]

Conferences Organised

  1. Served as one of the organizing Secretaries of ICM 2010 Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, India, during August 09-17, 2010.
  2. Organizing Secretary, International Conference on Geometric Function Theory and its Applications (ICGFTA 2014) during December 18–21, 2014 at the Department of Mathematics, IIT Kharagpur.
  3. Organized “On-Line Group Discussion on Geometric Function Theory (GFT) India” (This is online Group discussion which will be held on every alternative Saturday) from 2021-02-27 to 2021-06-01
  4. Organised Advanced Training in Mathematics School: “Instructional School for Teachers on Geometry of Complex Functions”, from 14th July 2021 to 08th August 2021, under the National Centre for Mathematics, Mumbai in collaboration with Indira Gandhi National Tribal University, M.P.
  5. Organised Complex Analysis Symposium at 29th Annual Conference of Ramanujan Mathematical Soceity, held at Christ Univetsity, Banglaore, during December 27–29, 2024

Selected Talks

International Conferences/Meetings

1)    Participated “The Current Developments in Mathematics (CDM) conference”, jointly hosted by Harvard University and the Massachusetts Institute of Technology (MIT) (through virtual mode), from 2022-03-18 to 2022-03-19.

2)    Invited talk: Bohr radius for Banach spaces on simply connected domains, Computational Methods in Function Theory (CMFT), The Federico Santa María Technical University in Valparaíso, Chile, January 10-14, 2022.

3)    Plenary talk “Bohr phenomenon for harmonic Bloch functions on simply connected domains” (with Himadri Halder) at VIII International Conference of Mathematics and Computer Science “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during September 19–25, 2022.

4)    Invited Talk: The Bohr phenomenon for Banach Spaces at Wuerzburg Complex Analysis Seminar, University of Wuerzburg, Germany on February 4th, 2022.

5)    Plenary talk “ The Bohr phenomenon for certain analytic and univalent functions” at the VI Conference of Mathematics and Computer Science, “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during November 21-22; 28–29, 2020.

6)    Plenary talk “ On the Third Logarithmic Coefficient of Close-to-convex Functions” (with Md Firoz Ali and D.K. Thomas) at V International Conference of Mathematics and Computer Science “Congressio Mathematica”, University of Warmia and Mazury in Olsztyn, Poland, during September 23–25, 2018.

7)    Short Communication “Certain subclasses of harmonic univalent mappings” (with Nirupam Ghosh) in Short Communication at International Congress of Mathematicians (ICM 2018), Rio de Janeiro (Brazil) during August 1–9, 2018.

8)    Invited talk “On the Growth of Some Subclasses of the Class of Univalent Functions” at International Symposium in Geometric Function Theory and Applications at Isik University, Turkey during August 26-September 4, 2013.

9)    Invited talks “On region of variabilities for family of analytic functions” at the Department of Applied Sciences, Yamaguchi University, Ube, Japan during December 19–23, 2011.

10) Short Communication “ Region of variability for spirallike functions with respect to a boundary point” at International Congress of Mathematicians (ICM 2010) at Hyderabad, August 19–27, 2010.

11) Invited talk “ Region of variability for functions with positive real part” at ICM 2010-Satellite Conference: International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) at IIT Madras, August 09-17, 2010.

12) Invited talk : “Region of variability for functions with positive real part” in  Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 28, 2009.

13) Invited talk “Region of variability and Fekete Szeg¨o problem for exponentially convex univalent functions” in Helsinki Analysis seminar at Department of Mathematics and Statistics, University of Helsinki, Finland on September 14, 2009.

14) Invited talk “Region of variability for exponentially convex univalent functions” at International conference on Complex Analysis and Related Topics, 12th Romannian-Finnish Seminar at University Turku, Finland, August 17-21, 2009.

15) Invited talk “Region of variability for exponentially convex univalent functions” in Turku Analysis seminar at Department of Mathematics, University of Turku, Finland on August 07, 2009.

16) Invited talk “Certain classes of univalent functions and radius problems” in Turku Analysis Seminar at Department of Mathematics, University of Turku, Finland on January 30, 2008.

National Conferences/Meetings

1)    Invited lectures at “Annual Foundation School – I (AFS-I)” at the Department of Mathematics, NIT Durgapur, during December 12, 2022 to January 7, 2023.

2)    Invited talk “Bohr and Rogosinski inequalities for operator valued holomorphic functions” In the Symposium “Complex Analysis” of 37th  Annual Conference of Ramanujan Mathematical Society during 06 – 08, December 2022.

3)    Invited Talk: On logarithmic coefficients problem for univalent functions, One Day International Symposium on Mathematical Analysis on the occasion of National Mathematics Day (134th Birth Anniversary of Srinivasa Ramanujan) Amity University, Haryana 22-12–2022.

4)    Participated 36th Annual Conference of Ramanujan Mathematical Society from 2021-08-04 to 2021-08-07 (Attend through Virtual conference mode)

5)    Invited talk: Bohr radius for certain classes of analytic and harmonic mappings, Faculty Development Program(FDP) on Mathematical Approaches in Science and Engineering?, Koneru Lakshmaiah Education Foundation (deemed to be University), 11-02-2021

6)    Participated 35th Annual Conference of Ramanujan Mathematical Society from 2020-12-28 to 2020-12-30 (Attend through Virtual conference mode)

7)    Participated Ramanujan Mathematical Society (RMS) Pre-Conference Symposium on Complex Analysis organised by Central University, Rajasthan from 2020-12-27 to 2020-12-27 (Attend through Virtual conference mode)

8)    Invited talk: On logarithmic coefficients of some close-to-convex functions at International Webinar on Recent Trends in Geometric Function Theory & Applications (RTGFTA-2020), September 18-21, 2020 KIIT Deemed to be University, Bhubaneswar

9)    Talk: “Region of variability for certain subclasses of univalent functions” (Awarded for the Best Paper Presentation Award)at , 22nd Annual conference of Ramanujan Mathematical Society at the Department of Mathematical and Computational Sciences, National Institute of Technology Surathkal, India during June 6-8, 2007.

Teaching

Autumn-2022-23:

1) Transform Calculus (B.Tech./ Third Semester)

2) Functions of Several Variables (M.Sc./Third Semester)

Spring- 2021-22:

1) Mathematics-II (B.Tech./ Second Semester)

2) Complex Analysis (M.Sc./ Second Semester)

Autumn-2021-22:

1) Mathematics-I  (B.Tech./ First Semester)

2) Functions of Several Variables (M.Sc./Third Semester)

Spring-2021

Mathematics-II (MA1L002)

Advanced Complex Analysis (MA7L003)

Autumn-2020:

Mathematics-I (MA1L001)

Spring-2020

Mathematics-II (MA1L002)

Advanced Complex Analysis (MA7L003)

Autumn-2019:

Mathematics-I (MA1L001)

Differential Geometry  (MA5L022)

Summer Quarter:

Transform Calculus (MA2L005)

 

Spring-2019:

Mathematics-II (MA1L002)

Measure Theory and Integration (MA5L014)

 

Teaching at IIT Kharagpur: 

Mathematics-I (MAL101),

Mathematics-II (MA10002),

Transform Calculus (MA20101),

Linear Algebra (MA20105),

Linear Algebra (MA41003/MA30003),

Real Analysis (MA31005/MA20012),

Complex Analysis (MA41006),

Advanced Complex Analysis (MA31002),

Modern Algebra (MA30002/MA41002),

Approximation Theory (MA61049),

Measure Theory and Integration (MA51002),

Theory of Operators (MA61032)

 

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