Maths
Here’s the maths page! First, a professional photo (©MFO):
I'm currently a postdoctoral fellow at the Indian Institute of Science Education and Research (IISER), Pune; previously at the Max Planck Institut für Mathematik (MPIM), Bonn. My work focuses on the interplay between trace formulae and Lfunctions in the theory of automorphic forms and representation theory. I also like to think about interactions between homotopy theory and number theory.
In progress

From binary Hermitian forms to Bianchi modular forms, (with C. Karabulut and D. Zagier).

Eisenstein cocycles over imaginary quadratic fields II: padic Lfunctions (with J. Flórez and C. Karabulut).

The balanced Voronoi formula for GL(n,F), (with G. Cherubini).

Eigenvarieties and Lpackets on GSp(4), (with B. Balasubramanyam).
Preprints

Shifts of the sum of prime divisor function of Alladi and Erdős, (with S. Shekatkar). Submitted.

Mock automorphic forms and the BPS index. Submitted.

Heights of CMcyles and derivatives of Lseries, (with Y. Elias). Submitted.

Biases in prime factorizations and Liouville functions for arithmetic progressions, (with P. Humphries and S. Shekatkar). Submitted. Latest

Eisenstein cocycles over imaginary quadratic fields I: Values of Lfunctions, (with J. Flórez and C. Karabulut). Submitted.

Lower bounds for Weil’s Explicit Formula via Selberg’s Trace Formula. Submitted.
Papers
 On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy, (with O.E. Gonzalez, C.H. Kwan, S.J. Miller, R. Van Peski). To appear in Journal of Number Theory.
Loose ends

An attempt to formulate the tensor product lift of GL(n) x GL(m) representations in terms of the Hitchin fibration PDF

An idea on connecting Bernstein’s ‘Stacks in Representation Theory’ to infinity categories. Slides, PDF.

Generalizing work of Fouvry, Kowalski, Michel, on bilinear sums at AWS 2016. (with S. Chow, A. Gafni, D. LowryDuda, and T. Mao) PDF

An attempt to formulate the notion of a multiplicative genus for Levine’s algebraic cobordism. (with E. Elmanto) PDF

Problem session at Sarnak 61st conference. PDF
I organized the Langlands Program Seminar at the CUNY GC. Find the notes here.
Some interesting courses I’ve taught:

Spring 2016: Topics in Geometry  Vassar College
The first half of the course introduces Galois theory through famous problems in geometry; the second half of the course hints at modular forms through the problem of sums of squares, from Fermat to Jacobi. Find the notes here.

Fall 2012: Thinking Mathematically  Brooklyn College
The first half of the course develops mathematical thinking in the sense of logic and proof; the second half of the course approaches social justice through matehmatical tools, considering how numbers can be used and misused. Text: Rethinking Mathematics: Teaching Social Justice by the Numbers, Eric Gutstein and Bob Peterson Eds., 2013
Past teaching:
 IISER Pune
 Summer 2017: IISER Pune Summer Student Programme project mentor
 Williams College
 Summer 2016: SMALL REU project mentor
 Vassar College
 Spring 2016: Multivariable calculus, 2 sections; Topics in geometry
 Hunter College
 Fall 2015: Calculus II; Precalculus
 Spring 2015: Calculus II
 Fall 2014: Calculus II
 Summer 2014: Calculus IV
 Spring 2014: Calculus II; Calculus III
 Fall 2013: Calculus I; Algebra
 Brooklyn College
 Summer 2013: PreCalculus
 Spring 2013: Thinking Mathematically; Precalculus
 Fall 2012: Thinking Mathematically, 2 sections
 Summer 2012: PreCalculus
 Bronx Community College
 Spring 2012: Arithmetic and Algebra
 Fall 2011: Arithmetic and Algebra