Steven Kaliszewski has been working to build and understand the theory of operator algebras, and in particular crossed-product C*-algebras. C*-algebras, essentially collections of infinite-dimensional matrices, model the behavior of quantum-mechanical systems: Just as successive measurements of a quantum system can give a different result when taken in reverse order, so does the product of two matrices (usually) depend on the order in which they are multiplied. Crossed-product C*-algebras further incorporate the time-evolution and other symmetries of a system into the model by using group actions.
Throughout the second half of the 20th century, quantum mechanics and operator algebras developed together, and ultimately the study of the latter became a mathematical end in itself. Since then, the field has produced elegant fundamental theorems, deep unanswered questions, and unexpected connections with many other branches of mathematics.
Ph.D. Dartmouth College, Hanover, NH 1994
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MAT 792 | Research |
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STP 421 | Probability |
MAT 493 | Honors Thesis |
MAT 579 | Functional Analysis II |
MAT 590 | Reading and Conference |
MAT 792 | Research |
Fall 2021 | |
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MAT 492 | Honors Directed Study |
MAT 578 | Functional Analysis I |
MAT 590 | Reading and Conference |
MAT 792 | Research |
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MAT 792 | Research |
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Course Number | Course Title |
MAT 493 | Honors Thesis |
MAT 590 | Reading and Conference |
MAT 792 | Research |
Fall 2020 | |
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MAT 492 | Honors Directed Study |
MAT 599 | Thesis |
MAT 792 | Research |
Summer 2020 | |
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MAT 792 | Research |
Spring 2020 | |
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MAT 371 | Advanced Calculus I |
MAT 493 | Honors Thesis |
MAT 571 | Real Analysis II |
MAT 590 | Reading and Conference |
MAT 591 | Seminar |
MAT 792 | Research |
Fall 2019 | |
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MAT 371 | Advanced Calculus I |
MAT 492 | Honors Directed Study |
MAT 570 | Real Analysis I |
MAT 591 | Seminar |
MAT 599 | Thesis |
MAT 792 | Research |
Summer 2019 | |
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MAT 792 | Research |
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MAT 371 | Advanced Calculus I |
MAT 493 | Honors Thesis |
MAT 591 | Seminar |
MAT 598 | Special Topics |
Fall 2018 | |
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MAT 300 | Mathematical Structures |
MAT 371 | Advanced Calculus I |
MAT 492 | Honors Directed Study |
MAT 591 | Seminar |
MAT 599 | Thesis |
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MAT 499 | Individualized Instruction |
MAT 571 | Real Analysis II |
MAT 591 | Seminar |
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Course Number | Course Title |
MAT 371 | Advanced Calculus I |
MAT 570 | Real Analysis I |
MAT 591 | Seminar |
MAT 599 | Thesis |
American Mathematical Society Mathematical Association of America Australian Mathematical Society Phi Beta Kappa