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Analysis and Partial Differential Equations
Analysis is broadly concerned with problems and techniques that involve estimation, approximation and limiting processes. Many specific areas of math fall entirely or largely under the analysis umbrella. These include riemannian geometry, complex analysis, dynamical systems, probability and many aspects of mathematical physics. Differential equations, which aims to understand functions from relationships among their derivatives, plays a particularly important role in most of these areas and as a subfield of analysis in its own right.
Activities
Regular Faculty
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Jeffrey Diller
Professor
Complex Analysis and Geometry, Dynamical Systems
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Matthew Gursky
Professor
Differential Geometry and Partial Differential Equations
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Brian C. Hall
Professor
Mathematical Physics and Lie Groups
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Qing Han
Professor
Differential Geometry and Partial Differential Equations
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Richard Hind
Professor
Differential Geometry
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Gerard Misiolek
Professor
Analysis and Geometry
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Liviu Nicolaescu
Professor, Director of Undergraduate Honors Math Program
Topology and Probability
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Marco Radeschi
Associate Professor
Differential Geometry, Topology and differential/ Riemannian geometry
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Mei-Chi Shaw
Professor
Complex Analysis and Partial Differential Geometry
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Gábor Székelyhidi
Adjunct Professor
Complex and Partial Differential Geometry
Emeriti Faculty
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Karsten Grove
Emeritus - Full
Differential Geometry and Topology
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Brian Smyth
Emeritus - Full
Differential Geometry
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Dennis Snow
Professor
Complex Analysis, Complex Geometry
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Nancy Stanton
Emerita - Full
Complex Geometry, Several Complex Variables and Partial Differential Equations
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Frederico Xavier
Emeritus - Full
Differential Geometry and Geometric Analysis