Assistant Professor
Department of Mathematics
Purdue University
Office: MATH 618
Email: lastname dt ATSIGN purdue.edu.

About

I am a number theorist interested in Galois representations and the Langlands program and related areas in representation theory and geometry. I was previously a postdoc at the University of Toronto and the IAS and a Ph.D. student at the University of Chicago.

My CV is available pdf.


Papers


Moduli of Fontaine--Laffaille representations and a mod-p local-global compatibility result

with Bao V. Le Hung, Stefano Morra, Chol Park, and Zicheng Qian
Submitted. 2021. 169 pages.
[Abstract ±]

Local models for Galois deformation rings and applications

with Bao V. Le Hung, Brandon Levin, and Stefano Morra
Submitted. 2020. 144 pages.
[Abstract ±]

Diagrams in the mod p cohomology of Shimura curves

with Andrea Dotto
Compositio Mathematica 157 (2021), no. 8, 1653-1723.
[Abstract ±]

On some nonadmissible smooth irreducible representations for GL(2)

Math. Research Letters 26 (2019), no. 6, 1747-1758.
[Abstract ±]

Weight cycling and supersingular representations

Preprint. 2017. 7 pages.
[Abstract ±]

Multiplicity one for wildly ramified representations

Algebra & Number Theory 13 (2019), no. 8, 1807-1827.
[Abstract ±]

Weight elimination in Serre-type conjectures

with Bao V. Le Hung and Brandon Levin
Duke Math. Journal 168 (2019), no. 13, 2433-2506.
[Abstract ±]

Multiplicity one at full congruence level

with Stefano Morra and Benjamin Schraen
To appear in J. Institut Math. Jussieu. 19 pages.
[Abstract ±]

Serre weights and Breuil's lattice conjecture in dimension three

with Bao V. Le Hung, Brandon Levin, and Stefano Morra
Forum of Math, Pi 8 (2020), e5, 135 pages.
[Abstract ±]

On mod p local-global compatibility for GL3 in the non-ordinary case

with Stefano Morra and Chol Park
Proceedings of the LMS 117 (2018), no. 4, 790-848.
[Abstract ±]

On mod p local-global compatibility for GL3 in the ordinary case

with Florian Herzig and Stefano Morra
Compositio Mathematica 153 (2017), no. 11, 2215-2286.
[Abstract ±]

Potentially crystalline deformation rings and Serre weight conjectures

with Bao V. Le Hung, Brandon Levin, and Stefano Morra
Inventiones Mathematicae 212 (2018), no. 1, 1-107.
[Abstract ±]

Lattices in the cohomology of U(3) arithmetic manifolds

Mathematische Annalen 372 (2018), no. 1-2, 55-89.
[Abstract ±]


Teaching


MA 26500 Spring 2021 Linear Algebra and its Applications