- Algebraic models for Teichmuller curves in Hilbert modular surfaces (with R. Mukamel), 40 pages, preprint.

- Orbit parametrizations for K3 surfaces (with M. Bhargava and W. Ho), 62 pages, arxiv.

- Examples of abelian surfaces with everywhere good reduction (with L. Dembele), 27 pages, arxiv

submitted.

- Simplices and optimal codes in projective spaces (with H. Cohn and G. Minton), 50 pages, arxiv

submitted.

- K3 surfaces and equations for Hilbert modular surfaces (with Noam Elkies), 83 pages, arxiv

to appear in*Algebra Number Theory.*

- Metacommutation of Hurwitz primes (with Henry Cohn), 11 pages, arxiv

to appear in*Proc. Amer. Math. Soc.*

- Formal duality and generalizations of the Poisson summation formula, (with H. Cohn, C. Reiher and A. Schurmann), 17 pages, arxiv

to appear in*Contemp. Math.*

- Elliptic fibrations on a generic Jacobian Kummer surface, 45 pages arxiv

to appear in*J. Algebraic Geom*.

- Multiplicative excellent families of elliptic surfaces of type
*E*_{7}or*E*_{8}(with Tetsuji Shioda) arxiv

*Algebra Number Theory*7 (2013), no. 7, 1613–1641.

- Using Elimination Theory to construct Rigid Matrices (with Satya Lokam, Vijay Patankar and Jayalal Sarma), 25 pages, arxiv

*Comput. Complexity*(2013) 10.1007/s00037-013-0061-0 (online first link).

- Rigidity of Spherical Codes (with Henry Cohn, Salvatore Torquato and Yang Jiao) arxiv

*Geom. Topol.*15 (2011), no. 4, 2235–2273.

- Point configurations that are asymmetric yet balanced (with Henry Cohn,
Noam Elkies and Achill Schürmann) arxiv

*Proc. Amer. Math. Soc.*138 (2010), no. 8, 2863–2872.

- Ground states and formal duality relations in the Gaussian core model (with Henry Cohn and Achill Schürmann) arxiv

*Physical Review E*80 (2009), 061116.

- Algorithmic design of self-assembling structures (with Henry Cohn) arxiv

*Proc. Nat. Acad. Sci.*106 (2009) no. 24, 9570–9575.

- Optimality and uniqueness of the Leech lattice among lattices (with Henry Cohn) arxiv

*Ann. of Math.*170 (2009), No. 3, 1003–1050.

- Counterintuitive ground states in soft-core models (with Henry Cohn)
arxiv

*Physical Review E*78 (2008), 061113.

- K3 surfaces associated with curves of genus two journal arxiv

*Internat. Math. Res. Notices*2008, no. 6, Art. ID rnm165, 26 pp.

- Uniqueness of the (22,891,1/4) spherical code (with Henry Cohn)
arxiv

*New York J. Math.*13 (2007), 147–157.

- Universally optimal distribution of points on spheres (with Henry Cohn)
arxiv

*J. Amer. Math. Soc.*20 (2007), no. 1, 99–148.

- The D_4 root system is not universally optimal (with Henry Cohn, John
Conway and Noam Elkies) arxiv

*Experiment. Math.*16 (2007), 313–320.

- The densest lattice in twenty-four dimensions (with Henry Cohn) arxiv

*Electron. Res. Announc. Amer. Math. Soc.*10 (2004), 58–67.

- A Proof of Pieri's formula using generalized Schensted insertion
algorithm for RC-graphs (with Mikhail Kogan) pdf arxiv

*Proc. Amer. Math. Soc.*130 (2002), 2525–2534.