Department of Mathematics, Statistics, and Computer Science

851 S. Morgan St.

Chicago, IL 60607

I am an assistant professor of Mathematics at UIC.

**Quasiprojectivity of images of mixed period maps**

with Y. Brunebarbe and J. Tsimerman

preprint (pdf, arXiv)**Definability of mixed period maps**

with Y. Brunebarbe, B. Klingler, and J. Tsimerman

preprint (pdf, arXiv)**The global moduli theory of symplectic varieties**

with C. Lehn

submitted (pdf, arXiv)**o-minimal GAGA and a conjecture of Griffiths**

with Y. Brunebarbe and J. Tsimerman

submitted (pdf, arXiv)**A global Torelli theorem for singular symplectic varieties**

with C. Lehn

submitted (pdf, arXiv)**Tame topology of arithmetic quotients and algebraicity of Hodge loci**

with B. Klingler and J. Tsimerman

*J. Amer. Math. Soc.*, to appear (pdf, arXiv)**The Ax-Schanuel conjecture for variations of Hodge structures**

with J. Tsimerman

*Invent. Math.*, Volume 217, N0. 1 (2019) (pdf, arXiv, journal)**The Mercat conjecture for stable rank 2 vector bundles on generic curves**

with G. Farkas

*Amer. J. Math.*, Volume 140, No. 5 (2018) (pdf, arXiv, journal)**The geometric torsion conjecture for abelian varieties with real multiplication**

with J. Tsimerman

*J. Differential Geom.*, Volume 109, No. 3 (2018) (pdf, arXiv, journal)**The Kodaira dimension of complex hyperbolic manifolds with cusps**

with J. Tsimerman

*Compos. Math.*, Volume 154, Issue 3 (2018) (pdf, arXiv, journal)**A classification of Lagrangian planes in holomorphic symplectic varieties**

*J. Inst. Math. Jussieu*, Volume 16, Issue 4 (2017) (pdf, arXiv, journal)**p-torsion monodromy representations of elliptic curves over geometric function fields**

with J. Tsimerman

*Ann. of Math.*184, No. 3 (2016) (pdf, arXiv, journal)**On the Frey-Mazur conjecture over low genus curves**

with J. Tsimerman

arXiv preprint (2013) (pdf, arXiv)**Lagrangian 4-planes in holomorphic symplectic varieties of K3^[4] type**

with A. Jorza

*Cent. Eur. J. Math.*, Volume 12, Issue 7 (2014) (pdf, arXiv, journal)

Computational appendix and Code**Higher rank stable pairs on K3 surfaces**

with A. Jorza

*Commun. Number Theory Phys.*, Volume 6, Number 4 (2012) (pdf, arXiv, journal)**Hodge polynomials of moduli spaces of stable pairs on K3 surfaces**

My thesis from Princeton University, under Rahul Pandharipande

June 2010 (pdf)

**Hodge theory and o-minimality**

Notes from the Felix Klein lecture series in Bonn, May 2019 (pdf)**Lectures on the Ax--Schanuel Conjecture**

with J. Tsimerman

Notes from*Shimura varieties and hyperbolicity of moduli spaces*in Montreal, May 2018 (pdf)

My course websites are maintained here.

- I'm not teaching this semester.

- UGA Spring 2020: Moduli spaces (Math 8330)
- UGA Fall 2019: Calculus II for Science and Engineering (Math 2260)
- UGA Fall 2018: Differential equations (Math 2700).
- UGA Fall 2018: (Counter)examples in char. p geometry (Math 8330).
- UGA Spring 2018: Commutative algebra (Math 8020).
- UGA 2017-2018: Topics in Hodge theory (VRG) (Math 8850).
- UGA Fall 2017: Differential equations (Math 2700).
- UGA Spring 2017: Modern algebra and geometry I (Math 4000/6000).
- UGA Spring 2017: Abelian varieties (Math 8330).
- HU Summer 2016: Berkovich spaces.
- HU Winter 2015: Literature Seminar.
- HU Summer 2015: Faltings theorem.
- HU Winter 2014: Abelian varieties and Fourier-Mukai transforms.
- NYU Spring 2013: Number Theory (MATH-GA 2210.001).
- NYU Fall 2012: Theory of Numbers (MATH-UA 248.001).
- NYU Fall 2011: Algebra I (MATH-GA 2130.001).
- NYU Spring 2011: Topology II (MATH-GA 2320.001).
- NYU Fall 2010: Calculus I (V63.0121.026.FA10).

**o-minimal GAGA**

CIRM, February 2019.**Transcendence of period maps**

Wisconsin, December 2018.**o-minimal GAGA and applications to Hodge theory**

Duke, November 2018.**o-minimal GAGA and applications to Hodge theory**

Moduli spaces and related problems, Shanghai Center for Mathematical Science, September 2018.**Hodge theory and o-minimal geometry**

AMS-CMS Joint Meeting, Fudan University, June 2018.**Recent advances in functional transcendence**

Shimura varieties and hyperbolicity of moduli spaces, UQAM, May 2018.

**Ben Tighe**