Benjamin Bakker

Publications and Preprints

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)

Lecture Notes

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)

Teaching

My course websites are maintained here.

Current Teaching

I'm not teaching this semester.

Past Teaching

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).

Recent talks

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.

Students

Ben Tighe