University of Kentucky Department of Mathematics 719 Patterson Office Tower Lexington, KY 40506-0027 dave.h.jensen@gmail.com Office:  POT 733

Publications and Preprints Research Papers 36.  Fibonacci Sumsets and the Gonality of Strip Graphs with Doel Rivera Laboy, submitted. 35.  On the Gonality of Ferrers Rook Graphs with M. Morvai, N. Speeter, B. Welch, and S. Yeomans, submitted. 34.  On the Semigroup of Graph Gonality Sequences with A. Fessler, E. Kelsey and N. Owen, Australasian Journal of Combinatorics, 88(3) (2024), 343-361. 33.  The Embedding Theorem in Hurwitz-Brill-Noether Theory with K. Cook-Powell, Eric Larson, Hannah Larson and Isabel Vogt, submitted. 32.  Sliding Block Puzzles with a Twist: On Segerman's 15+4 Puzzle with P. Garcia, A. Hanson and N. Owen, submitted. 31.  Tropical Linear Series and Tropical Independence with S. Payne, submitted. 30.  The Nonabelian Brill-Noether Divisor on M_13 and the Kodaira Dimension of R_13 with S. Payne and G. Farkas, Geometry and Topology, 28(2) (2024), 803-866. 29.  Tropical Methods in Hurwitz-Brill-Noether Theory with K. Cook-Powell, Advances in Mathematics, 398 (2022), paper no. 108199, 42 pp.. 28.  The Kodaira Dimensions of M_22 and M_23 with S. Payne and G. Farkas, submitted. 27.  A New Lower Bound on Graph Gonality with M. Harp, E. Jackson, and N. Speeter, Discrete Applied Mathematics, 309 (2022), 172-179. 26.  Scrollar Invariants of Tropical Curves with K. Sawyer, submitted. 25.  The Motivic Zeta Functions of a Matroid with M. Kutler and J. Usatine, Journal of the London Mathematical Society, 103(2) (2021), 604-632. 24.  Components of Brill-Noether Loci for Curves with Fixed Gonality with K. Cook-Powell, Michigan Math Journal, 71(1) (2022), 19-45. 23.  Brill-Noether Theory for Curves of a Fixed Gonality with D. Ranganathan, Forum of Mathematics, Pi, 9 (2021), paper no. 31, 1-33. a video of me speaking about this result can be found here. 22.  Brill-Noether Theory of Curves on P1xP1: Tropical and Classical Approach with F. Cools, M. D'Adderio and M. Panizzut, Algbebraic Combinatorics 2(3) (2019), 323-341. 21.  Combinatorial and Inductive Methods for the Tropical Maximal Rank Conjecture with S. Payne, Journal of Combinatorial Theory, Series A, 152 (2017), 138-158. 20.  Gonality of Expander Graphs with Neelav Dutta, Discrete Mathematics, 341(9) (2018), 2535–2543. 19.  Tropicalization of Theta Characteristics, Double Covers, and Prym Varieties with Yoav Len, Selecta Mathematica, 24(2) (2018), 1391-1410. 18.  Tropical Independence II:  The Maximal Rank Conjecture for Quadrics with S. Payne, Algebra and Number Theory, 10(8), (2015), 1601-1640. a video of me speaking about this result can be found here. 17.  Toric Graph Associahedra and Compactifications of M_{0,n} with R. Ferreira da Rosa and D. Ranganathan, Journal of Algebraic Combinatorics, 43(1), (2015), 139-151. 16.  Realization of Groups with Pairing as Jacobians of Finite Graphs with L. Gaudet, D. Ranganathan, N. Wawrykow and T. Weisman, Annals of Combinatorics 22(4) (2018), 781-801. 15.  Gonality of Random Graphs with A. Deveau, J. Kainic and D. Mitropolsky, Involve, a Journal of Mathematics, 9(4) (2016), 715-620. 14.  The Locus of Brill-Noether General Graphs is not Dense Portugalia Mathematica, 73(3) (2016), 177-182. 13.  Lifting Divisors on a Generic Chain of Loops with D. Cartwright and S. Payne, Canadian Mathematical Bulletin, 58(2) (2015), 250-262. 12.  Tropical Independence I:  Shapes of Divisors and a Proof of the Gieseker-Petri Theorem with S. Payne, Algebra and Number Theory, 8(9) (2014), 2043-2066. a video of me speaking about this result can be found here. 11.  A Simplicial Approach to Effective Divisors in \bar{M}_{0,n} with B. Doran and N. Giansiracusa, International Mathematics Research Notices, 2 (2017), 529-565. 10.  Veronese Quotient Models of \bar{M}_[0,n} and Conformal Blocks with A. Gibney, H. Moon, and D. Swinarski, Michigan Mathematical Journal, 62(4) (2013), 721-751. 9.  Towards a Tropical Proof of the Gieseker-Petri Theorem with V. Baratham, C. Mata, D. Nguyen, and S. Parekh, Collectanea Mathematica, 65(1) (2014), 17-27. 8.  Log Canonical Models and Variation of GIT for Genus Four Canonical Curves with S. Casalaina-Martin and R. Laza, Journal of Algebraic Geometry, 23(4) (2014), 727-764 7.  GIT Compactifications of M_{0,n} and Flips with N. Giansiracusa and H. Moon, Advances in Mathematics, 248 (2013), 242-278. 6.  Stability of Second Hilbert Points of Canonical Curves with M. Fedorchuk, International Mathematics Research Notices, 22 (2013), 5270-5287. 5.  The Geometry of the Ball Quotient Model of the Moduli Space of Genus Four Curves with S. Casalaina-Martin and R. Laza, Compact Moduli Spaces and Vector Bundles, Contemp. Math. 564 (2012), 107-136. 4.  Rational Fibrations of \bar{M}_{5,1} and \bar{M}_{6,1} Journal of Pure and Applied Algebra, 216(3) (2012), 633-642. 3.  Birational Contractions of \bar{M}_{3,1} and \bar{M}_{4,1} Transactions of the American Math Society, 365(6) (2013), 2863-2879. 2.  Completions of UFDs with Semi-Local Formal FIbers Communications in Algebra, 34(1) (2006), 347-360. 1.  Controlling Formal Fibers of Principal Prime Ideals with A. Dundon, S. Loepp, J. Provine and J. Rodu, Rocky Mountain Journal of Mathematics, 37(6)  (2007), 1871-1891. Expository Papers 5.  Group Theory via Quilts with K. Ponto, Mitteilungen der Deutschen Mathematiker-Vereinigung, 31(4) (2023), 218-219 4.  Chip Firing and Algebraic Curves Notices of the AMS, 68(11) (2021), 1875-1881. 3.  Recent Developments in Brill-Noether Theory with S. Payne, to appear. 2.  What to Expect at a Large Public Research University with C. Manon, Notices of the AMS, 67(6)  (2020), 813-814. 1.  Degeneration of Linear Series From the Tropical Point of View and Applications with M. Baker, Proceedings of the Simons Symposium on Nonarchimedean Geometry, (2016), 365-433.