Preprints
Finding large families of rational curves through Bend-and-Break, arxiv version
Stability of normal bundles of Brill–Noether curves in P^4, arxiv version
Free curves and fundamental groups, arxiv version
The integral chow ring of M_2^{ct}, arxiv version
Rational Curves on Coindex 3 Fano Varieties, arxiv version
Geometric Manin's Conjecture for Fano 3-Folds, arxiv version
Publications:
A characterization of projective space via lengths of extremal rays, to appear in J. Reine Angew. Math., arxiv version
Optimal bounds in Bend-and-Break, published in Forum of Math Pi
Rational Contractions of Fiber Type on M_{0,6}, published in Manuscripta Mathematica
Extreme Divisors on M_{0,7} and Differences over Characteristic 2, published in the Michigan Math. J.
Additional Publications:
Corrigenda to ``Rational curves on prime Fano threefolds of index 1'', published in the J. Algebraic Geom.
Primes and Perfect Powers in the Catalan Triangle, published in the Journal of Integer Sequences, related sequences in the OEIS
Talks:
Rational Chain Connectivity of Globally F-regular Varieties, at Boston Algebraic Geoemtry Day, at Washington University in St. Louis
Improving Mori's Bend and Break, at the UCLA Junior Algebraic Geometry Workshop 2026
A characterization of projective space via lengths of extremal rays, at an AMS Special Session at Boston College
Stability of Normal Bundles of General Brill-Noether Curves in 4-Dimensional Projective Space, at University of Notre Dame, at Brown University, at University of Conneticut
Free Curves in Singular Varieties, at University of Illinois Chicago, at the Havard-MIT Algebraic Geometry Seminar, at the Fields Institute, at University of Maryland, at University of Notre Dame, at Columbia University, at Birational Geometry Seminar 2025, at Princeton University, at UCLA, at UC San Diego, at Duke University, at Stony Brook University, at Johns Hopkins University, at Seminario Nacional de Geometría Algebraica
Geometric Manin’s Conjecture for Coindex 3 Fano Varieties, at Stony Brook University
Rational Curves on Coindex 3 Fano Varieties, at Brown University, at Boston College
Geometric Manin’s Conjecture for Fano Threefolds, at Università di Torino, at University of Illinois Chicago, at Washington University in St. Louis, at Northwestern University, at Oklahoma State University, at University of Illinois Urbana-Champaign
Extreme Divisors on M_{0,7} and Differences over Characteristic 2, at UIC's AG Seminar, at Warwick's AG Seminar, at Notre Dame's AG Seminar, at Moduli Across the Pandemic (video available) , at University of Kentucky's Algebra Seminar
New Extreme Divisors on M_{0,7}, BUGCAT 2021
Primes and Perfect Powers in the Catalan Triangle, JMM 2019 AMS Contributed Paper Session and JMM 2018 MAA General Contributed Paper Session