Victor Pambuccian completed his doctorate in 1993 at the University of Michigan, with a thesis focusing on the axiomatics of Euclidean geometry, under the guidance of advisor Andreas Blass. He came to Arizona State University in 1994.
Pambuccian’s wide-ranging research interests include the axiomatics of a variety of geometries, such as affine, projective, Euclidean, ordered, equiaffine, hyperbolic and the geometry of metric planes. He also examines definability questions in several geometries, including Minkowski space. Another interest focuses on reverse geometry, which is the search for the most austere axiom systems inside which a certain theorem can be proved.
A prolific author, Pambuccian has written 100 journal publications. Recent examples include “The axiomatics of ordered geometry I. Ordered incidence spaces” in Expositiones Mathematicae, “Axiomatizing geometric constructions” in Journal of Applied Logic (he also serves on the editorial board of this publication), and “The Erdös-Mordell inequality is equivalent to non-positive curvature” in Journal of Geometry.
Currently, Pambuccian is writing a book about the axiomatic foundation of geometry, which will survey all contributions made from the 1882 beginning of the modern axiomatization of geometry to the present.
Ph.D. University of Michigan 1993
Spring 2021 | |
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Course Number | Course Title |
MAT 371 | Advanced Calculus I |
MAT 445 | Theory of Numbers |
MAT 499 | Individualized Instruction |
Fall 2020 | |
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Course Number | Course Title |
MAT 411 | History and Philosophy of Math |
MAT 472 | Intermediate Real Analysis I |
MAT 499 | Individualized Instruction |
Spring 2020 | |
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Course Number | Course Title |
MAT 243 | Discrete Math Structures |
MAT 371 | Advanced Calculus I |
MAT 443 | Intro to Abstract Algebra |
MAT 499 | Individualized Instruction |
Fall 2019 | |
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Course Number | Course Title |
MAT 243 | Discrete Math Structures |
MAT 411 | History and Philosophy of Math |
MAT 461 | Applied Complex Analysis |
MAT 499 | Individualized Instruction |
Spring 2019 | |
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Course Number | Course Title |
MAT 499 | Individualized Instruction |
Fall 2018 | |
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Course Number | Course Title |
MAT 499 | Individualized Instruction |
Spring 2018 | |
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Course Number | Course Title |
MAT 310 | Introduction to Geometry |
MAT 371 | Advanced Calculus I |
MAT 499 | Individualized Instruction |
Fall 2017 | |
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Course Number | Course Title |
MAT 411 | History and Philosophy of Math |
MAT 472 | Intermediate Real Analysis I |
MAT 499 | Individualized Instruction |
Spring 2017 | |
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Course Number | Course Title |
MAT 310 | Introduction to Geometry |
MAT 371 | Advanced Calculus I |
MAT 499 | Individualized Instruction |
Fall 2016 | |
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Course Number | Course Title |
MAT 300 | Mathematical Structures |
ACO 399 | Supervised Research |
MAT 411 | History and Philosophy of Math |
MAT 499 | Individualized Instruction |