Jack Spielberg works in the area of operator algebras, which combines fundamental aspects of algebra and functional analysis. Operator algebras were introduced in the first half of the 20th century to give a rigorous mathematical model for quantum mechanics. In particular, the uncertainty principle indicates that certain fundamental physical quantities, such as position and momentum, are noncommuting, a phenomenon having no place in classical physics. The operators required to represent them act on infinite dimensional vector spaces, and the high degrees of noncommutativity occurring have resulted in new discoveries in both analysis and algebra. The development of the field led to deep connections with other branches of mathematics, such as topology and geometry.
personal webpage: https://math.la.asu.edu/~jss/
Ph.D. University of California-Berkeley 1985
Summer 2022 | |
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Course Number | Course Title |
MAT 792 | Research |
Spring 2022 | |
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Course Number | Course Title |
MAT 342 | Linear Algebra |
MAT 493 | Honors Thesis |
MAT 495 | Undergraduate Research |
MAT 571 | Real Analysis II |
MAT 590 | Reading and Conference |
MAT 599 | Thesis |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2021 | |
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Course Number | Course Title |
MAT 342 | Linear Algebra |
MAT 495 | Undergraduate Research |
MAT 570 | Real Analysis I |
MAT 590 | Reading and Conference |
MAT 792 | Research |
MAT 799 | Dissertation |
Summer 2021 | |
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Course Number | Course Title |
MAT 792 | Research |
Spring 2021 | |
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Course Number | Course Title |
MAT 371 | Advanced Calculus I |
MAT 493 | Honors Thesis |
MAT 495 | Undergraduate Research |
MAT 590 | Reading and Conference |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2020 | |
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Course Number | Course Title |
MAT 371 | Advanced Calculus I |
MAT 495 | Undergraduate Research |
MAT 578 | Functional Analysis I |
MAT 590 | Reading and Conference |
MAT 792 | Research |
MAT 799 | Dissertation |
Summer 2020 | |
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Course Number | Course Title |
MAT 792 | Research |
Spring 2020 | |
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Course Number | Course Title |
MAT 473 | Intermediate Real Analysis II |
MAT 493 | Honors Thesis |
MAT 495 | Undergraduate Research |
MAT 590 | Reading and Conference |
MAT 598 | Special Topics |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2019 | |
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Course Number | Course Title |
MAT 300 | Mathematical Structures |
MAT 495 | Undergraduate Research |
MAT 590 | Reading and Conference |
MAT 792 | Research |
MAT 799 | Dissertation |
Summer 2019 | |
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Course Number | Course Title |
MAT 792 | Research |
Spring 2019 | |
---|---|
Course Number | Course Title |
MAT 371 | Advanced Calculus I |
MAT 493 | Honors Thesis |
MAT 571 | Real Analysis II |
MAT 590 | Reading and Conference |
MAT 792 | Research |
MAT 799 | Dissertation |
Fall 2018 | |
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Course Number | Course Title |
MAT 342 | Linear Algebra |
MAT 495 | Undergraduate Research |
MAT 570 | Real Analysis I |
MAT 590 | Reading and Conference |
MAT 792 | Research |
MAT 799 | Dissertation |
Summer 2018 | |
---|---|
Course Number | Course Title |
MAT 495 | Undergraduate Research |
MAT 590 | Reading and Conference |
MAT 792 | Research |
Spring 2018 | |
---|---|
Course Number | Course Title |
MAT 371 | Advanced Calculus I |
MAT 372 | Advanced Calculus II |
MAT 493 | Honors Thesis |
MAT 590 | Reading and Conference |
MAT 792 | Research |
Fall 2017 | |
---|---|
Course Number | Course Title |
MAT 342 | Linear Algebra |
MAT 371 | Advanced Calculus I |
MAT 495 | Undergraduate Research |
MAT 590 | Reading and Conference |
MAT 792 | Research |