Avik Chakravarty

I am Avik Chakravarty, a Ph.D. candidate in the Department of Mathematics at the University of Pennsylvania, where I'm advised by Angela Gibney and Tony Pantev.

I am on the academic job market for 2026-2027.

I work in algebraic geometry and mathematical physics. My research interests involve mirror symmetry, Hodge invariants and vector bundles on moduli of curves associated to vertex operator algebras. I am supported by the Benjamin Franklin & Fontaine Fellowship.

Before starting my Ph.D., I was a Bridge-to-PhD fellow — and before that, I made cars for a living!

Email: avikchak at sas dot upenn dot edu

My cv.

Research papers

Avik Chakravarty, Positivity of coinvariant divisors on $\overline{\mathrm{M}}_{0,n}$ and the parafermions. (ArXiv, Journal)

International Mathematics Research Notices, Volume 2026, Issue 9, May 2026.

See a poster on this paper I presented in the Richmond Geometry meeting 2025 [link]

Avik Chakravarty and Jianqi Liu, Globally generated vector bundles on $\overline{\mathrm{M}}_{0,n}$ from VOA representations. (In preparation)
Avik Chakravarty, Daebeom Choi and Shengjing Xu, Counterexamples to Sato's weak F-equivalence conjecture and a Gorenstein refinement. (ArXiv) (submitted for publication)
Victor Alekseev, Avik Chakravarty, Daebeom Choi and Shengjing Xu, Qin's quasimodularity conjecture for Hilbert schemes of points. (ArXiv)

Teaching Experience

-- at the University of Pennsylvania

Summer 2026 | Instructor for Math 2400: Calculus III
Summer 2022 | Instructor for Math 3120: Linear algebra
Fall 2021 | Teaching Assistant for Math 1400: Multivariable calculus
Spring 2024 | Teaching Assistant for Math 2030: Proofs in Algebra
Fall 2024, Fall 2023, Spring 2022 | Teaching Assistant for Math 3140: Adv. Linear algebra
Fall 2026 | Grader for Math 4010: Complex Analysis
Spring 2025 | Teaching Assistant for Math 6030: Graduate algebra 2
Summer 2024, Summer 2023 | Teaching Assistant for Pre-First Year Program

Service

Seminar organized:
- Fall 2025 | Basic notions seminar
- Summer 2025| Reading Group - Fukaya categories and Mirror symmetry
- Spring 2025 | Mirror symmetry and math/physics
- Fall 2024 & Spring 2025 | UPenn Graduate Algebraic Geometry seminar
May 2024 | Technical help for AGNES at UPenn.
Mentored undergraduate students via the Directed Reading Program at the University of Pennsylvania on the following topics:

Lie groups and Lie algebras, Algebraic topology, Hilbert schemes, Toric geometry, Complex algebraic geometry, Scheme theory, Tropical Riemann-Roch, Abstract varieties

Selected Talks

Feb. 2026 | (10-minute talk) Globally generated Vector bundles on \bar{M}_{0,n} from Lattice VOAs
the Richmond Geometry day Spring 2026, Virginia Commonwealth University.

Nov. 2025 | Positive line bundles on moduli of curves from VOA representations
VT Geometry&Topology seminar, Virginia Tech.

Sep. 2025 | (poster presentation) Positivity of coinvariant divisors on \bar{M}_{0,n} and the parafermions [Poster]
the Richmond Geometry meeting, Virginia Commonwealth University.

Sep. 2025 | Positivity of coinvariant divisors on \bar{M}_{0,n} and the parafermions [Slides]
Math/Phys joint seminar, University of Pennsylvania.

Feb. 2025 | Intrinsic mirror symmetry: I and II
Mirror symmetry and math/physics seminar, University of Pennsylvania.

Oct. 2024 | Moduli $\mathcal{A}_g$, its compactifications and tautological rings
Graduate algebraic geometry seminar, University of Pennsylvania.

Aug. 2024 | Virtual fundamental classes [Slides]
eCHT seminar, Wayne State University.

Travel

Forthcoming

Oct. 2026 | AGNES Brown 2026.
Brown University, Providence, RI.

Recent

Oct. 2026 | Graduate workshop on the theory of atoms.
SCGP, Stony Brook, NY.

OCt. 2026 | (virtual) Lagrangian Floer theory and applications Workshop. [Link]
CMSA, Boston, MA.

Jul. 2026 | ICM 2026. [Link]
Philadelphia, PA.

Jun. 2026 | Summer school: Geometry of Instantons and quivers. [Link]
Lille, France.

Jun. 2026 | RGAS Summer school: Mirror symmetry and homological methods in algebraic geometry. [Link]
Zaragoza, Spain.

Apr. 2026 | Hot topics: Geometric langlands conjecture. [Link]
SLMath, CA.

Feb. 2026 | the Richmond Geometry day Spring 2026 [Link]
Virginia Commonwealth University, Richmond, VA.

Jan. 2026 | Homological Mirror Symmetry 2026 [Link]
IMSA, Miami, FL.

Nov. 2025 | AGNES Fall 2025 [Link]
University of Massachusetts, Amherst, MA.

Nov. 2025 | Geometry & Topology seminar [Link]
Virginia Tech, Blacksburg, VA.

Sep. 2025 | the Richmond Geometry Meeting 2025 [Link] [POSTER LINK]
Virginia Commonwealth University, Richmond, VA.

Sep. 2025 | FRG Fall school on Quantizations and Lagrangians [Link]
University of Illinois, Chicago, IL.

Jul. 2025 | Bootcamp & 2025 Summer research institute in Algebraic geometry [Link]
Colorado State University, Fort Collins, CO.

Jun. 2025 | Summer school: Enumerative geometry and Geometric rep. theory [Link]
Università di Pisa, Italy.

May 2025 | Derived categories and Mirror symmetry [Link]
UW, Madison, WI.

Mar. 2025 | Lefschetz centennial [Link]
IMSA, Miami, FL.

Mar. 2025 | Georgia Algebraic Geometry Symposium 2025 [Link]
University of Georgia, Athens, GA.

Jan. 2025 | Homological Mirror Symmetry 2025 [Link]
IMSA, Miami, FL.

Jan. 2025 | Winter school on Enumerative geometry and Mirror symmetry [Link]
Caltech, Pasadena, CA.

Jul. 2024 | (virtual) Logs and stacks in birational geometry and moduli [Link]
LMS Invited Lecture Series 2024, London, UK.

Jun. 2024 | Workshop on Computational and Applied Enumerative Geometry [Link]
Fields Institute, Toronto, Canada.

Feb. 2024 | A panorama of moduli spaces [Link]
Goethe University Frankfurt am Main, Frankfurt, Germany.

Jun. 2023 | Arithmetic, birational geometry, and moduli spaces [Link]
Brown University, Providence, RI.

Fellowships and Awards

Mentored undergraduate students via the Directed Reading Program at University of Pennsylvania on the following topics: