Deepam Patel
Associate Professor of Mathematics and Director of Online Programs, College of Sciences
Purdue University
West Lafayette, IN 47907

Office: Math 606
E-mail: patel471 "at" purdue "dot" edu
Phone: 765-494-1966

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I am an Associate Professor of Mathematics and Director of Online Programs in the College of Science at Purdue University. I lead College participation in university-wide online graduate initiatives, including the pan-Purdue M.S. in Artificial Intelligence and M.S. in Data Science. My research spans algebraic geometry and number theory, with recent work at the interface of logic/VC density and data-driven methods.
I’m actively interested in AI for mathematics (LLM-assisted reasoning, formal methods) and quantitative modeling.

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Teaching (Fall 2025):

M598: Applied Etale Cohomology

M351: Elementary Linear Algebra
Note: All course information for M351 is available through your course Brightspace page.

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Research: I'm mostly interested in algebraic geometry/number theory. More recently, I've become interested in some aspects of model theory, logic, and AI for mathematics. You can find more information and some papers/preprints here.

Selected Publications:

1: De Rham epsilon factors. (pdf)
Inventiones Mathematicae, Vol. 190, No. 2, 2012, pp. 299-355. 

2: Motivic structure on higher homotopy of hyperplane arrangements. (pdf)
Mathematische Annalen, 366(1), 2016, pp. 279-300.

3: Lefschetz theorems for torsion algebraic cycles in codimension 2. (pdf)
      With G.V. Ravindra.
Advances in Math., 315, 2017, pp. 554-575.

4: Locally analytic representations of GL(2) via semistable models of P^{1}. (pdf)
      With Tobias Schmidt and Matthias Strauch.
Journal of the Institute of Math. of Jussieu, 18, No. 2, 2019, pp. 125-187.

5: VC Density of definable families over valued fields (pdf)
      With Saugata Basu.
Journal of the European Mathematical Society, Vol. 73, No. 7, 2021, pp. 2361-2403.

6: Nonnegativity of Signed Euler Characteristics of Moduli of Curves and Abelian Varieties. (pdf)
      With D. Arapura
      (to appear, Math. Annalen)

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Algebraic Geometry Seminar: see here for more information.

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Learning Seminar:

Most semesters, I and some members of the algebraic geometry/number theory group organize some sort of learning seminar.

Spring 2025: Condensed Mathematics (see here).

Fall 2024:The Weil Conjectures, see here for more information.

Fall 2021: We (Tong Liu, Dan Le, Shiang Tang) organized a learning seminar on Mazur's Eisenstein Ideal Paper, see here for more information.

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