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

---

I am an Associate Professor of Mathematics and Director of Online Programs in the College of Science at Purdue University. My research spans algebraic geometry and number theory, with recent work at the interface of logic/VC density and data-driven methods. 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. I am actively interested in AI for mathematics (LLM-assisted reasoning, formal methods) and quantitative modeling.

---

Teaching:

Not Teaching Spring 2026

---

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.

Selected publications are below and the full list is here.

• De Rham epsilon factors. (pdf)
  Inventiones Mathematicae, Vol. 190, No. 2, 2012, pp. 299-355. 
  
• Motivic structure on higher homotopy of hyperplane arrangements. (pdf)
  Mathematische Annalen, 366(1), 2016, pp. 279-300.
  
• Lefschetz theorems for torsion algebraic cycles in codimension 2. (pdf)
        With G.V. Ravindra.
  Advances in Math., 315, 2017, pp. 554-575.
• 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.
• 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.
  
• Nonnegativity of Signed Euler Characteristics of Moduli of Curves and Abelian Varieties. (pdf)
        With D. Arapura
  Mathematische Annalen, 394, 2026
  
• Local Monodromy of Constructible Sheaves. (pdf)
        With M. Nori,
       to appear, Crelle
  

---

Algebraic Geometry Seminar: see here for more information.

---

Learning Seminar:

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

Fall 2026: TBA

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.

---