Works (25)
Updated: April 4th, 2024 13:37
2023 journal article
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
MATHEMATIKA, 70(1).
open access via onlinelibrary.wiley.com (publisher PDF)
Sources: Web Of Science, NC State University Libraries, ORCID
Added: January 2, 2024
2023 journal article
Mixed Norm l<SUP>2</SUP> Decoupling for Paraboloids
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023(20), 17972–18000.
Sources: ORCID, Web Of Science, NC State University Libraries
Added: February 1, 2024
2023 report
Mixed norm l2 decoupling for paraboloids
(ArXiv Preprint No. 2303.04773).
Sources: NC State University Libraries, NC State University Libraries
Added: September 3, 2023
2022 report
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
(ArXiv Preprint No. 2207.01097).
Sources: NC State University Libraries, NC State University Libraries
Added: September 3, 2023
2022 report
An introduction to decoupling and harmonic analysis over Qp
(ArXiv Preprint No. 2209.01644).
Sources: NC State University Libraries, NC State University Libraries
Added: September 3, 2023
2022 journal article
Decoupling for fractal subsets of the parabola
Mathematische Zeitschrift, 301(2), 1851–1879.
Sources: Crossref, NC State University Libraries
Added: August 25, 2023
2021 journal article
A bilinear proof of decoupling for the cubic moment curve
Transactions of the American Mathematical Society, 374(08), 5405–5432.
Source: Crossref
Added: August 25, 2023
2021 journal article
A short proof of ℓ2 decoupling for the moment curve
American Journal of Mathematics, 143(6), 1983–1998.
Source: Crossref
Added: August 24, 2023
2021 journal article
An $l^2$ decoupling interpretation of efficient congruencing: the parabola
Revista Matemática Iberoamericana, 37(5), 1761–1802.
Source: Crossref
Added: August 25, 2023
2021 report
Improved discrete restriction for the parabola
(ArXiv Preprint No. 2103.09795).
Sources: NC State University Libraries, NC State University Libraries
Added: September 3, 2023
2020 journal article
EFFECTIVE <i>l <sup>2 DECOUPLING FOR THE PARABOLA
Mathematika, 66(3), 681–712.
Sources: Crossref, NC State University Libraries
Added: August 24, 2023
2019 article
A bilinear proof of decoupling for the cubic moment curve
(2019, June 19).
Source: ORCID
Added: August 23, 2023
2019 article
A short proof of $\ell^2$ decoupling for the moment curve
(2019, December 20).
Source: ORCID
Added: August 23, 2023
2019 thesis
Decoupling for the parabola and connections to efficient congruencing
(Ph.D. dissertation, University of California Los Angeles). https://escholarship.org/uc/item/0cz3756c.
Source: NC State University Libraries
Added: September 3, 2023
2018 article
An $l^2$ decoupling interpretation of efficient congruencing: the parabola
(2018, May 26).
Source: ORCID
Added: August 23, 2023
2017 article
Effective $l^2$ decoupling for the parabola
(2017, November 3).
Source: ORCID
Added: August 23, 2023
2014 journal article
Elliptic curves with full 2-torsion and maximal adelic Galois representations
Mathematics of Computation, 83(290), 2925–2951.
TL;DR:
This paper obtains necessary and sufficient conditions for the associated adelic representation to be maximal and develops a battery of computationally effective tests that can be used to verify these conditions.
(via Semantic Scholar)
Source: Crossref
Added: August 25, 2023
2014 journal article
Quadratic twists of elliptic curves with 3-Selmer rank 1
International Journal of Number Theory, 10(05), 1191–1217.
Sources: Crossref, NC State University Libraries, ORCID
Added: August 23, 2023
2013 article
Arithmetic Properties of Picard-Fuchs Equations and Holonomic Recurrences
(2013, March 31).
Source: ORCID
Added: August 23, 2023
2013 journal article
Arithmetic properties of Picard–Fuchs equations and holonomic recurrences
Journal of Number Theory, 133(8), 2770–2793.
Source: Crossref
Added: August 25, 2023
2012 journal article
Elliptic Curves with Full 2-Torsion and Maximal Adelic Galois Representations
Source: ORCID
Added: August 23, 2023
2010 journal article
A normal form for cubic surfaces
International Journal of Algebra. http://www.m-hikari.com/ija/ija-2010/ija-5-8-2010/liIJA5-8-2010.pdf
Source: ORCID
Added: August 23, 2023
2010 journal article
A normal form for cubic surfaces
International Journal of Algebra, 4(5), 233–239.
Source: NC State University Libraries
Added: September 3, 2023
2010 journal article
On a special case of the intersection of quadric and cubic surfaces
Journal of Pure and Applied Algebra, 214(11), 2078–2086.
TL;DR:
The methods used to parametrize the space curve between two quadric surfaces are generalized and a parametrization for the intersection curve between a quadric and a cubic surface when the intersection has a singularity of order 3 is given.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(OpenAlex)
Sources: ORCID, Crossref, NC State University Libraries
Added: August 23, 2023
2008 journal article
Counting powers of words in monoids
European Journal of Combinatorics, 30(5), 1297–1308.
TL;DR:
For a monoid M with presentation M=, the number of words equivalent to w"1^n,n@?N, where equivalent means under the transitive closure of the relation generated by replacing an occurrence of w"2"i"-"1 by w" 2"i or vice versa (for any i).
(via Semantic Scholar)
Sources: ORCID, Crossref, NC State University Libraries
Added: August 23, 2023
Employment
Updated: May 18th, 2023 00:30
2023 - present
North Carolina State University Raleigh, North Carolina, US
Assistant Professor
Mathematics
2022 - 2023
University of Wisconsin–Madison Madison, WI, US
RTG Postdoctoral Fellow
Mathematics
2019 - 2022
Indiana University Bloomington, Indiana, US
NSF Postdoctoral Fellow
Mathematics
Education
Updated: September 30th, 2020 14:17
2013 - 2019
University of California Los Angeles Los Angeles, CA, US
PhD
Mathematics
2009 - 2013
Princeton University Princeton, NJ, US
AB
Mathematics
Funding History
Funding history based on the linked ORCID record. Updated: May 18th, 2023 00:31
grant
January 1, 2023 - July 31, 2025
Decoupling Theory and Exponential Sum Estimates
Directorate for Mathematical & Physical Sciences
grant
August 1, 2022 - February 28, 2023
Decoupling Theory and Exponential Sum Estimates
Directorate for Mathematical & Physical Sciences
grant
September 1, 2019 - August 31, 2023
PostDoctoral Research Fellowship
Directorate for Mathematical & Physical Sciences
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