2023
TRI-PLANE DIAGRAMS FOR SIMPLE SURFACES IN S4, , MANUEL ARAGÓN, ZACK DOOLEY, ALEXANDER GOLDMAN, YUCONG LEI, ISAIAH MARTINEZ, NICHOLAS MEYER, DEVON PETERS, SCOTT WARRANDER, Ana Wright, and Alex Zupan
Pull-Push Method: A new approach to Edge-Isoperimetric Problems, Sergei L. Bezrukov, Nikola Kuzmanovski, and Jounglag Lim
IDEMPOTENT COMPLETIONS OF EQUIVARIANT MATRIX FACTORIZATION CATEGORIES, MICHAEL K. BROWN and Mark E. Walker
Listening for Common Ground in High School and Early Collegiate Mathematics, Gail Burrill, Henry Cohn, Yvonne Lai, Dev P. Sinha, Ji Y. Son, and Katherine F. Stevenson
Formal conjugacy growth in graph products I, Laura Ciobanu,; Susan Hermiller; and Valentin Mercier
A variational theory for integral functionals involving finite-horizon fractional gradients, Javier Cueto, Carolin Carolin, and Hidde Schönberger
Theory of Invariant Manifold and Foliation and Uniqueness of Center Manifold Dynamics, Bo Deng
Nash blowups of toric varieties in prime characteristic, Daniel Duarte, Jack Jeffries, and Luis Núñez-Betancourt
When are the natural embeddings of classical invariant rings pure?, Melvin Hochster, Jack Jeffries, Vaibhav Pandey, and Anurag K. Singh
BERNSTEIN-SATO THEORY FOR SINGULAR RINGS IN POSITIVE CHARACTERISTIC, JACK JACK, LUIS NÚÑEZ-BETANCOURT, and EAMON QUINLAN-GALLEGO
Differentiating by prime numbers, Jack Jeffries
Decomposition rate as an emergent property of optimal microbial foraging, Stefano Manzoni, Arjun Chakrawal, and Glenn Ledder
EXTREMAL ABSORBING SETS IN LOW-DENSITY PARITY-CHECK CODES, Emily McMillon, Allison Beemer, and Christine A. Kelley
Analysis of syndrome-based iterative decoder failure of QLDPC codes, Kirsten D. Morris, Tefjol Pllaha, and Christine A. Kelley
Factors Influencing Instructors’ Adoption and Continued Use of Computing Science Technologies: A Case Study in the Context of Cell Collective, Changsoo Song, Resa M. Helikar, Wendy M. Smith, and Tomáš Helikar
Computation of the basic reproduction numbers for reaction-diffusion epidemic models, Chayu Yang and Jin Wang
Modeling and Analyzing Homogeneous Tumor Growth under Virotherapy, Chayu Yang and Jin Wang
2022
Lefschetz properties of some codimension three Artinian Gorenstein algebras, Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino, Alexandra Seceleanu, and Joachim Yaméogo
POLYNOMIAL GROWTH OF BETTI SEQUENCES OVER LOCAL RINGS, LUCHEZAR L. AVRAMOV, Alexandra Seceleanu, and ZHENG YANG
Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity, José C. Bellido, Javier Cueto, and Carlos Mora-Corral
Bounds on cohomological support varieties, Benjamin Briggs, Eloisa Grifo, and Josh Pollitz
A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic, Alessandro De Stefani, Eloisa Grifo, and Jack Jeffries
DUALITY FOR ASYMPTOTIC INVARIANTS OF GRADED FAMILIES, MICHAEL DIPASQUALE, THÁI THÀNH NGUYỄN, and Alexandra Seceleanu
COMPUTING RATIONAL POWERS OF MONOMIAL IDEALS, PRATIK DONGRE, BENJAMIN DRABKIN, JOSIAH LIM, ETHAN PARTIDA, ETHAN ROY, DYLAN RUFF, Alexandra Seceleanu, and TINGTING TANG
ON THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A STRUCTURE ACOUSTICS MODEL, BAOWEI FENG, YANQIU GUO, and Mohammad A. Rammaha
Symbolic power containments in singular rings in positive characteristic, Eloísa Grifo, Linquan Ma, and Karl Schwede
Low-gain integral control for a class of discrete-time Lur’e systems with applications to sampled-data control, Chris Guiver, Richard Rebarber, and Stuart Townley
DIFFERENTIAL OPERATORS ON CLASSICAL INVARIANT RINGS DO NOT LIFT MODULO p, Jack Jeffries and ANURAG K. SINGH
BRIDGE TRISECTIONS AND CLASSICAL KNOTTED SURFACE THEORY, JASON JOSEPH, JEFFREY MEIER, MAGGIE MILLER, and MILLER ZUPAN
Many cliques in bounded-degree hypergraphs, Rachel Kirsch and J. Radcliffe
Mentoring Undergraduate Research in Mathematical Modeling, Glenn Ledder
Mentoring Undergraduate Research in Mathematical Modeling, Glenn Ledder
LORENTZIAN POLYNOMIALS, HIGHER HESSIANS, AND THE HODGE-RIEMANN PROPERTY FOR CODIMENSION TWO GRADED ARTINIAN GORENSTEIN ALGEBRAS, Pedro Macias-Marques, Chris McDaniel, Alexandra Seceleanu, and Junzo Watanabe
2021
LEVEL AND GORENSTEIN PROJECTIVE DIMENSION, Laila Awadalla and Thomas Marley
Near-Optimal Learning of Tree-Structured Distributions by Chow-Liu, Arnab Bhattacharyya, Sutanu Gayen, Eric Price, and N. V. Vinodchandran
Demailly's Conjecture and the Containment Problem, Sankhaneel Bisui, Eloisa Grifo, Huy Tài Hà, and Thái Thành Nguyên
Chudnovsky's Conjecture and the stable Harbourne-Huneke containment, Sankhaneel Bisui, Eloísa Grifo, Huy Tài Hà, and Thái Thành Nguyên
LOWER BOUNDS ON BETTI NUMBERS, ADAM BOOCHER and Eloisa Grifo
Lower bounds on Betti numbers, Adam Boocher and Eloisa Grifo
Constructing non-proxy small test modules for the complete intersection property, Benjamin Briggs, Eloísa Grifo, and Josh Pollitz
THE SMOOTH 4-GENUS OF (THE REST OF) THE PRIME KNOTS THROUGH 12 CROSSINGS, Mark Brittenham and Susan Hermiller
ON THE BOUNDED NEGATIVITY CONJECTURE AND SINGULAR PLANE CURVES, ALEXANDRU DIMCA, Brian Harbourne, and GABRIEL STICLARU
SYMBOLIC REES ALGEBRAS, ELOÍSA GRIFO and Alexandra Seceleanu
Symbolic Rees algebras, Eloísa Grifo and Alexandra Seceleanu
Cohomological Blow Ups of Graded Artinian Gorenstein Algebras Along Surjective Maps, Anthony Iarrobino, Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu, and Junzo Watanabe
Modernization of Scienttific Mathematics Formula In Technology, Iwasan D. Kejawa Ed.D and Prof. Iwasan D. Kejawa Ed.D
REGULARITY CRITERIA FOR THE KURAMOTO-SIVASHINSKY EQUATION IN DIMENSIONS TWO AND THREE, ADAM LARIOS, MOHAMMAD MAHABUBUR RAHMAN, and KAZUO YAMAZAKI
THE PHASE TRANSITION OF DISCREPANCY IN RANDOM HYPERGRAPHS, CALUM MACRURY, TOMÁŠ MASARÍK, LEILANI PAI, and Xavier Perez Gimenez
BERNSTEIN-SATO POLYNOMIALS IN COMMUTATIVE ALGEBRA, JOSEP ÀLVAREZ MONTANER, Jack Jeffries, and LUIS NÚÑEZ-BETANCOURT
2020
Diagrams of ⋆-trisections, José Román Aranda and Jesse Moeller
A stable version of Harbourne's Conjecture and the containment problem for space monomial curves, Eloísa Grifo
Expected resurgence of ideals defining Gorenstein rings, Eloísa Grifo, Craig Huneke, and Vivek Mukundan
EXPECTED RESURGENCE OF IDEALS DEFINING GORENSTEIN RINGS, ELOÍSA GRIFO, CRAIG HUNEKE, and VIVEK MUKUNDAN
Expected resurgences and symbolic powers of ideals, Eloísa Grifo, Craig Huneke, and Vivek Mukundan
CONVERGENCE OF APPROXIMATE SOLUTIONS TO NONLINEAR CAPUTO NABLA FRACTIONAL DIFFERENCE EQUATIONS WITH BOUNDARY CONDITIONS, Xiang Liu, Baoguo Jia, Scott Gensler, Lynn Erbe, and Allan Peterson
STRUCTURE FOR REGULAR INCLUSIONS. II CARTAN ENVELOPES, PSEUDO-EXPECTATIONS AND TWISTS, David R. Pitts
2019
INTERMEDIATE C∗-ALGEBRAS OF CARTAN EMBEDDINGS, Jonathan H. Brown, Ruy Exel, Adam H. Fuller, David R. Pitts, and Sarah A. Reznikoff
Associated Primes and Syzygies of Linked Modules, Olgur Celikbas, Mohammad T. Dibaei, Mohsen Gheibi, Arash Sadeghi, and Ryo Takahaski
Connectivity differences between Gulf War Illness (GWI) phenotypes during a test of attention, Tomas Clarke, Jessie Jamieson, Patrick Malone, Rakib U. Rayhan, Stuart Washington, John W. VanMeter, and James N. Baraniuk
A “Rule-of-Five” Framework for Models and Modeling to Unify Mathematicians and Biologists and Improve Student Learning, C. Diaz Eaton, H. C. Highlander, K. D. Dahlquist, G. Ledder, M.D. LaMar, and R.C. Schugart
Predicting impacts of chemicals from organisms to ecosystem service delivery: A case study of insecticide impacts on a freshwater lake, Nika Galic, Chris J. Salice, Bjorn Birnir, Randall J.F. Bruins, Virginie Ducrot, Henriette I. Jager, Andrew Kanarek, Roberto Pastorok, Richard Rebarber, Pernille Thorbek, and Valery E. Forbes
Persistence metrics for a river population in a two-dimensional benthic-drift model, Yu Jin, Qihua Huang, Julia Blackburn, and Mark A. Lewis
Determinants of Incidence and Hessian Matrices Arising From the Vector Space Lattice, Saeed Nasseh, Alexandra Seceleanu, and Junzo Watanabe
A Doubly Nonlocal Laplace Operator and Its Connection to the Classical Laplacian, Petronela Radu and Kelseys Wells
Intermediate cell states in epithelial-to-mesenchymal transition, Yutong Sha, Daniel Haensel, Guadalupe Gutierrez, Huijing Du, Xing Dai, and Qing Nie
2018
Translation Theorems for the Fourier-Feynman Transform on the Product Function Space C2 a,b, [0,T], Seung Jun Chang, Jae Gil Choi, and David Skoug
An Inverse Problem: Trappers Drove Hares to Eat Lynx, Bo Deng
Modeling Association in Microbial Communities with Clique Loginear Models, Adrian Dobra, Camilo Valdes, Dragana Ajdic, Bertrand S. Clarke, and Jennifer Clarke
CARTAN TRIPLES, Allan P. Donsig, Adam H. Fuller, and David R. Pitts
Multiscale modeling of layer formation in epidermis, Huijing Du, Yangyang Wang, Daniel Haensel, Briana Lee, Xing Dai, and Qing Nie
Predicting impacts of chemicals from organisms to ecosystem service delivery: A case study of endocrine disruptor effects on trout, Valery E. Forbes, Steve Railsback, Chiara Accolla, Bjorn Birnir, Randall J.F. Bruins, Virginie Ducrot, Nika Galic, Kristina Garber, Bret C. Harvey, Henriette I. Jager, Andrew Kanarek, Robert Pastorok, Richard Rebarber, Pernille Thorbek, and Chris J. Salice
Existing and Regularity of Minimizers for Nonlocal Energy Functionals, Mikil D. Foss, Petronela Radu, and Cory Wright
Examples of finite free complexes of small rank and small homology, Srikanth B. Iyengar and Mark E. Walker
LOZENGE TILINGS OF A HALVED HEXAGON WITH AN ARRAY OF TRIANGLES REMOVED FROM THE BOUNDARY, Tri Lai
Lozenge tilings of a halved hexagon with an array of triangles removed from the boundary, part II, Tri Lai
Modeling craniofacial development reveals spatiotemporal constraints on robust patterning of the mandibular arch, Lina Meinecke, Praveer P. Sharma, Huijing Du, Lei Zhang, Qing Nie, and Thomas F. Schilling
Diagnostic Effects of an Early Mastery Activity in College Algebra and Precalculus, Nathan Wakefield, Joe Champion, Jessalyn Bolkema, and Douglas Dailey
Building Long-Term Support for Faculty through Graduate Student Instructor Professional Development, Nathan Wakefield, Karina Uhing, and Mitchell Hamidi
Joint Asymptotics for Estimating the Fractal Indices of Bivariate Gaussian Processes, Yuzhen Zhou and Yimin Xiao
2017
LOWER BOUNDS ON PROJECTIVE LEVELS OF COMPLEXES, Hannah Altmann, Eloisa Grifo, Jonathan Montano, William T. Sanders, and Thanh Vu
Rainbow perfect matchings and Hamilton cycles in the random geometric graph, Deepak Bal, Patrick Bennett, Xavier Perez-Gimenez, and Pawel Pralat
GEOMETRY OF THE WORD PROBLEM FOR 3-MANIFOLD GROUPS, Mark Brittenham, Susan Hermiller, and Tim Susse
DETECTING FINITE FLAT DIMENSION OF MODULES VIA ITERATES OF THE FROBENIUS ENDOMORPHISM, Douglas J. Dailey, Srikanth B. Iyengar, and Thomas Marley
VON NEUMANN ALGEBRAS AND EXTENSIONS OF INVERSE SEMIGROUPS, Allan P. Donsig, Adam H. Fuller, and David R. Pitts
An Early Semester Mastery Activity and Intervention in First-Year Calculus, Allan P. Donsig and Nathan Wakefield
A Framework for Predicting Impacts on Ecosystem Services From (Sub)Organismal Responses to Chemicals, Valery E. Forbes, Chris J. Salice, Bjorn Birnir, Randy J.F. Bruins, Peter Calow, Virginie Ducrot, Nika Galic, Kristina Garber, Bret C. Harvey, Henriette Jager, Andrew Kanarek, Robert Pastorok, Steve F. Railsback, Richard Rebarber, and Pernille Thorbek
SINGLE POINT SESHADRI CONSTANTS ON RATIONAL SURFACES, Krishna Hanumanthu and Brian Harbourne
No positive cone in a free product is regular, Susan Hermiller and Zoran Sunic
Gene Expression Noise Enhances Robust Organization of the Early Mammalian Blastocyst, William R. Holmes, Nabora Soledad Reyes de Mochel, Qixuan Wang, Huijing Du, Tao Peng, Michael Chiang, Olivier Cinquin, Ken Cho, and Qing Nie
A COMBINATORIAL APPROACH TO ROOT MULTIPLICITIES OF RANK 2 HYPERBOLIC KAC-MOODY ALGEBRAS, Seok-Jin Kang, Kyu-Hwan Lee, and Kyungyong Lee
Perfect matchings of trimmed Aztec rectangles, Tri Lai
BEYOND AZTEC CASTLES: TORIC CASCADES IN THE dP3 QUIVER, Tri Lai and Gregg Musiker
Existence and rapid convergence results for nonlinear Caputo nabla fractional difference equations, Xiang Liu, Baoguo Jia, Lynn Erbe, and Allan Peterson
2016
Comparing the Growth of the Prime Numbers to the Natural Numbers, Michael A. Brilleslyper, Nathan Wakefield, A. J. Wallerstein, and Bradley Warner
MINIMIZING THE NUMBER OF INDEPENDENT SETS IN TRIANGLE-FREE REGULAR GRAPHS, Jonathan Cutler and J. Radcliffe
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions, Lynn Erbe, Christopher S. Goodrich, Baoguo Jia, and Allan C. Peterson
Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions, Lynn Erbe, Christopher S. Goodrich, Baoguo Jia, and Allan C. Peterson
Matched Metrics and Channels, Marcelo Firer and Judy L. Walker
SIMPLE ADAPTIVE CONTROL FOR POSITIVE LINEAR SYSTEMS WITH APPLICATIONS TO PEST MANAGEMENT, Chris Guiver, Christina Edholm, Yu Jin, Markus Mueller, Jim Powell, Richard Rebarber, Brigitte Tenhumberg, and Stuart Townley
CONJUGACY LANGUAGES IN GROUPS, Susan Hermiller, D. Holt, and S. Rees