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Debmalya Basak

Profile picture for Debmalya Basak

Contact Information

1A Coble Hall, 801 S Wright St, Champaign, IL, 61820.

Research Areas

PhD Student

Biography

I am a 4th Year graduate student in Mathematics at the University of Illinois Urbana Champaign. My primary area of research is Analytic Number Theory. My PhD advisors are Prof. Alexandru Zaharescu and Prof. Jesse Thorner.

Research Interests

Analytic number theory, Distribution of primes, Automorphic forms and their representations, $L$–functions, Exponential sums, Circle Method, Partitions, Probabilistic Number Theory.

Education

Ph.D. in Mathematics, University of Illinois Urbana-Champaign (2021-Present).

Integrated BS-MS Dual Degree, Major in Mathematics, Minor in Physics, Indian Institute of Science Education and Research, Kolkata (2015-2020).

Awards and Honors

1) Waldemar J., Barbara G., and Juliette Alexandra Trjitzinsky Fellowship, Department of Mathematics, University of Illinois Urbana Champaign.

2) Director’s Gold Medal, Department of Mathematics and Statistics, Indian Institute of Science Education and Research, Kolkata.

3) MITACS Globalink Research Fellowship, Canada.

4) DST-INSPIRE Fellowship, Department of Science and Technology, Govt. of India (2015-2020).

Courses Taught

Teaching Assistantship at University of Illinois Urbana Champaign

1)Calculus I (MATH 221), Spring 2024.

2) Abstract Linear Algebra (MATH 416), NETMATH Program, Summer 2024.

3) Calculus I (MATH 220), Spring 2022.

4) Calculus III (MATH 241), Fall 2021. 

5) Calculus I (MATH 220), KAUST Gifted Student Program, UIUC GET, Summer 2021.

6) Calculus I (MATH 220), Spring 2021 (Online).

Grading at University of Illinois Urbana Champaign

1) Analytic Number Theory I (MATH 531).

2) Elementary Number Theory (MATH 453).

3) Abstract Linear Algebra (MATH 416).

4) Fundamental Mathematics (MATH 347).

Highlighted Publications

4) Exponential Sums over Möbius Convolutions with Applications to Partitions (with Nicolas Robles & Alexandru Zaharescu), Canad. J. Math. accepted for publication (2024). [pdf] [Arxiv] 

3) Poisson Behavior for Chains of Small Quadratic Non-Residues (with Kunjakanan Nath & Alexandru Zaharescu), Int. Math. Res. Not. IMRN, Vol. 2024, No. 4, pp. 3356-3390. [DOI] [pdf] 

2) Gaussian Phenomena for Small Quadratic Residues and Non-Residues (with Kunjakanan Nath & Alexandru Zaharescu), Trans. Amer. Math. Soc. Vol. 376 (2023), no. 5, pp. 3695–3724. [DOI] [pdf] 

1) Multiple Zeta Functions and Polylogarithms over Global Function Fields (with Nicolas Degré Pelletier & Matilde Lalín),  J. Théorie Nombres Bordeaux, 32, (2020), no. 2, pp. 403-438. [DOI] [pdf]