Mathematics Department faculty includes both theoretical and applied researchers in areas which include but are not limited to: topology, climate change, mathematical modeling, data analysis, fluid dynamics, number theory, operator theory, geometric group theory, and pedagogical issues in high school mathematics.
Modified from math.calpoly.edu
Submissions from 2008
Full algebra of generalized functions and non-standard asymptotic analysis, Todor D. Todorov and Hans Vernaeve
Submissions from 2007
Closed Geodesics on Orbifolds of Revolution, Joseph E. Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics, and D. Mark Sullivan
Hybrid Multiscale Landmark and Deformable Image Registration, Dana C. Paquin, Doron Levy, and Lei Xing
The q-exponential Generating Function for Permutations by Consecutive Patterns and Inversions, Don Rawlings
Deformable Image Registration With Inclusion of Auto-Detected Homologous Tissue Features, Y. Xie, Lei Xing, Dana C. Paquin, Doron Levy, and T. Yang
Submissions from 2006
Toral Algebraic Sets and Function Theory on Polydisks, Jim Agler, John E. McCarthy, and Mark Stankus
Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds, Vincent Bonini, Pengzi Miao, and Jie Qing
On the existence of infinitely many closed geodesics on orbifolds of revolution, Joseph Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics, and D. Mark Sullivan
Improving the Convergence and Computational Efficiency of Deformable Image Registration Calculation by Incorporating Prior Knowledge, S. Kamath, Eduard Schreibmann, Doron Levy, Dana C. Paquin, and Lei Xing
Double-Slit Interference and Temporal Topos, Goro Kato and Tsunefumi Tanaka
Multiscale Image Registration, Dana C. Paquin, Doron Levy, Eduard Schreibmann, and Lei Xing
Multiscale Image Registration, Dana C. Paquin, Doron Levy, and Lei Xing
On the Reliability of an n-Component System, Don Rawlings and Lawrence Sze
Lecture Notes: Non-Standard Approach to J.F. Colombeau’s Theory of Generalized Functions, Todor D. Todorov
Submissions from 2005
The Expected Variation of Random Bounded Integer Sequences of Finite Length, Rudolfo Angeles, Don Rawlings, Lawrence Sze, and Mark Tiefenbruck
Elemental t.g. Principles of Relativistic t-Topos (Presheafification of Matter, Space, and Time), Goro Kato
Image Registration with Auto-Mapped Control Volumes, Dana Paquin, Eduard Schreibmann, and Lei Xing
On the Metamorphosis of Vandermonde's Identity, Don Rawlings and Lawrence Sze
Existence and uniqueness of v-asymptotic expansions and Colombeau’s generalized numbers, Todor D. Todorov
Submissions from 2004
Shallow Water Modeling of Antarctic Bottom Water Crossing the Equator, Paul F. Choboter and Gordon E. Swaters
Elemental principles of t-topos, Goro Kato
Submissions from 2003
Determination of the Topological Structure of an Orbifold by its Group of Orbifold Diffeomerphisms, Joseph E. Borzellino and Victor Brunsden
The Derangement Problem Relative to the Mahonian Process, Jessica Delfert, Hillary Einziger, and Don Rawlings
Radius of convergence of a power series, Todor D. Todorov
Submissions from 2002
Orbifold Homeomorphism and Diffeomorphism Groups, Joseph E. Borzellino and Victor Brunsden