Personal Information

• Curriculum vitae

Research

• Bibliography
• "An Introduction to the Theory of Wave Maps and Related Geometric Problems" (a book written in collaboration with Manoussos G. Grillakis, which appeared in October 2016 at World Scientific). Here is a look at the preface and table of contents.
• Preprints
• Analysis Research Group

Outreach

• The College Math Olympiad (started in 2025)
• University of Rochester Math Olympiad (2007-2020)
• The Mathcounts Club at Our Lady of Mercy School for Young Women (2016-2019)
• Rochester Area Math Circle (2008-2016)

Teaching

Spring 2026

• MATH 285, "Partial Differential Equations"
• MATH 467, "Analysis II (graduate)"

Previous Teaching

• MTH 163, "Ordinary Differential Equations" (Spring 2011)
• MTH 164, "Multidimensional Calculus" (Fall 2006-2007)
• MTH 165, "Linear Algebra with Differential Equations" (Spring 2007-2008, 2012-2013, 2016, 2019-2020, 2023)
• MTH 173, "Honors Calculus III" (Fall 2016-2017)
• MTH 174, "Honors Calculus IV" (Spring 2017-2018)
• MTH 190, "Topics in Problem Solving" (Fall 2007-2009, 2011-2024)
• MTH 200, "Transition to Advanced Mathematics" (Fall 2024)
• MTH 235, "Linear Algebra" (Fall 2006)
• MTH 265H, "Functions of a Real Variable (Honors)" (Fall 2007-2008, 2012-2013, 2018-2019)
• MTH 263, "Qualitative Theory of Ordinary Differential Equations" (Spring 2022-2023, 2025)
• MTH 266, "Real Analysis II" (Spring 2009, 2013, 2017, 2024)
• MTH 282, "Introduction to Complex Variables with Applications" (Spring 2021)
• MTH 282H, "Introduction to Complex Analysis (Honors)" (Spring 2025)
• MTH 285, "Methods of Applied Mathematics" (Spring 2018, 2021-2022)
• MTH 391, "Independent Study" (Spring 2008, Fall 2009, Spring 2011-2013)
• MTH 393, "Senior Project" (Spring 2015-2016, 2018)
• MTH 463, "Partial Differential Equations" (Spring 2010)
• MTH 467, "Theory of Analytic Functions" (Spring 2011-2012)
• MTH 471, "Real Analysis" (Fall 2014-2015, 2020-2021)
• MTH 472, "Functional Analysis/Analysis III" (Fall 2009, Spring 2014, Spring 2016, Fall 2022-2023)
• MTH 565, "Introduction to Hyperbolic PDE's" (Spring 2007)
• MTH 565, "Topics in Nonlinear Dispersive Equations" (Spring 2008)
• MTH 565, "An Introduction to the Theory of Wave Maps and Related Problems" (Fall 2011)
• MTH 565, "Small Data Global Regularity for Wave Maps and Related Problems" (Fall 2013)
• MTH 565, "An Introduction to Nonlinear Wave Equations" (Fall 2018)
• MTH 565, "Introduction to Nonlinear Dispersive Equations" (Spring 2024)
• MTH 591, "PhD Readings in Mathematics" (2008-2009, Fall 2009, 2010-2011, Fall 2011, 2013, Spring 2017, 2017-2018, Fall 2018)
• MTH 595, "PhD Research in Mathematics" (Spring 2010, 2010-2013, Fall 2013, Spring 2018, Fall 2018)
• Problem Solving Seminar (2006-2007, Spring 2008, Fall 2010)