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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


I am a 3rd Year graduate student in Mathematics at the University of Illinois Urbana Champaign. My primary area of research is Analytic Number Theory. My PhD advisor is Prof. Alexandru Zaharescu.

Research Interests

Analytic Number Theory, Distribution of Primes, Sieve Methods and Additive Combinatorics. 


Graduate Program in Mathematics, University of Illinois Urbana-Champaign (2021-).

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 220), Spring 2022.

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

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

4) 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

1) With Nicolas Robles and Alexandru Zaharescu, Exponential Sums over Moebius Convolutions with Applications to Partitions, submitted (2023).

2) With Alexandru Zaharescu, Connections between Number Theory and the Theory of Turbulence (with an appendix by Alexander Migdal), submitted (2023).

3) With Kunjakanan Nath and Alexandru Zaharescu, Poisson Behavior for Chains of Small Quadratic Non-Residues, Int. Math. Res. Not. IMRN, published online (2023).

4) With Kunjakanan Nath and Alexandru Zaharescu, Gaussian Phenomena for Small Quadratic Residues and Non-Residues, Trans. Amer. Math. Soc. Vol. 376 (2023), no. 5, pp. 3695–3724.

5) With Nicolas Degré Pelletier and Matilde Lalín, Multiple Zeta Functions and Polylogarithms over Global Function Fields, J. Théorie Nombres Bordeaux, 32, (2020), no. 2, pp. 403-438.