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

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Submissions from 2008

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Full algebra of generalized functions and non-standard asymptotic analysis, Todor D. Todorov and Hans Vernaeve

Submissions from 2007

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Closed Geodesics on Orbifolds of Revolution, Joseph E. Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics, and D. Mark Sullivan

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Hybrid Multiscale Landmark and Deformable Image Registration, Dana C. Paquin, Doron Levy, and Lei Xing

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The q-exponential Generating Function for Permutations by Consecutive Patterns and Inversions, Don Rawlings

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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

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Toral Algebraic Sets and Function Theory on Polydisks, Jim Agler, John E. McCarthy, and Mark Stankus

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Ricci Curvature Rigidity for Weakly Asymptotically Hyperbolic Manifolds, Vincent Bonini, Pengzi Miao, and Jie Qing

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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

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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

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Double-Slit Interference and Temporal Topos, Goro Kato and Tsunefumi Tanaka

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Multiscale Image Registration, Dana C. Paquin, Doron Levy, Eduard Schreibmann, and Lei Xing

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Multiscale Image Registration, Dana C. Paquin, Doron Levy, and Lei Xing

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On the Reliability of an n-Component System, Don Rawlings and Lawrence Sze

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Lecture Notes: Non-Standard Approach to J.F. Colombeau’s Theory of Generalized Functions, Todor D. Todorov

Submissions from 2004

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Shallow Water Modeling of Antarctic Bottom Water Crossing the Equator, Paul F. Choboter and Gordon E. Swaters

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Elemental principles of t-topos, Goro Kato

Submissions from 2003

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Determination of the Topological Structure of an Orbifold by its Group of Orbifold Diffeomerphisms, Joseph E. Borzellino and Victor Brunsden

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The Derangement Problem Relative to the Mahonian Process, Jessica Delfert, Hillary Einziger, and Don Rawlings

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Radius of convergence of a power series, Todor D. Todorov

Submissions from 2002

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Orbifold Homeomorphism and Diffeomorphism Groups, Joseph E. Borzellino and Victor Brunsden