Jeremy Leach
Contact
Information
Stanford University
Department of Mathematics
Building 380
Stanford, California 94305 USA
(570) 401-9518
[email protected]
http://math.stanford.edu/~jleach
Research
Interests
Mathematical general relativity, geometric analysis, and partial differential equations
Education
Stanford University
Ph.D. Candidate, Mathematics (expected August 2015)
• Advisor: Rafe Mazzeo
• Thesis title: The vacuum Einstein constraint equations on manifolds with
ends of cylindrical type
Yale University
B.A. in Mathematics, May 2009
• Graduated with distinction in mathematics
• Magna cum laude
Publications
A limit equation criterion for solving the Einstein constraint equations on manifolds with ends of cylindrical type, Ann. Henri Poincar´e, 2014, with J. Dilts.
(DOI 10.1007/s00023-014-0357-x)
A far-from-CMC existence result for the constraint equations on manifolds with
ends of cylindrical type, Class. Quantum Grav. 31 (2014) 035003.
(DOI 10.1088/0264-9381/31/3/035003)
Talks
The conformal method on manifolds with ends of cylindrical type, Differential
Geometry/PDE Seminar, University of Washington. (April 2015)
End-to-end gluing constructions for the Einstein constraint equations on manifolds with cylindrical ends, FRG research talk, University of Alaska, Fairbanks.
(September 2014)
The constraint equations on manifolds with ends of cylindrical type, FRG research talk, Mathematical Sciences Research Institute, Berkeley, CA. (November 2013)
Recent advances in breakdown criteria for CMC foliations of vacuum spacetimes, Area exam lecture, Stanford University. (April 2013)
Curriculum Vitae, Jeremy Leach, 1
The conformal method in mathematical general relativity, Student Geometry
and Analysis Seminar, Stanford University. (January 2013)
An introduction to hyperbolic knot and weave complements, Mathematics Seminar, Embry-Riddle Aeronautical University, Prescott, AZ. (April 2010)
Teaching
Experience
Winter
Fall
Spring
Winter
Winter
Fall
Summer
Spring
Winter
Spring
Fall
Honors and
Awards
2013
2010
2009
2008
2006
Workshops
Attended
2015
2014
2014
2014
2013
2012
2012
2012
2012
2011
2010
Teaching Assistant (admin), Linear Algebra and Vect. Calc.
Teaching Assistant, Accelerated Calculus I
Teaching Assistant, Linear Algebra and Vector Calculus
Course Assistant, Lebesgue Integration and Fourier Analysis
Teaching Assistant, Accelerated Calculus II
Course Assistant, Graduate Real Analysis
EPGY Instructor, Non-Euclidean Geometry and Topology
Teaching Assistant, ODEs with Linear Algebra
Course Assistant, Lebesgue Integration and Fourier Analysis
Course Assistant, Abstract Algebra
Course Assistant, Multivariable Calculus
Centennial Teaching Assistant Award
Stanford University, School of Humanities and Sciences
Graduate Research Fellowships Program, Honorable Mention
National Science Foundation
DeForest Prize
Yale University, Department of Mathematics
Anthony D. Stanley Prize
Yale University, Department of Mathematics
David Mann Scholarship
Mensa Education and Research Foundation
ESI-EMS-IAMP Summer school on Mathematical Relativity, Erwin Schr¨odinger
Institute, Vienna, Austria (August 2014).
Initial Data and Evolution Problems in General Relativity, MSRI, Berkeley, CA
(November 2013).
Introductory Workshop: Mathematical General Relativity, MSRI, Berkeley, CA
(September 2013).
MSRI Summer Graduate School in Mathematical General Relativity, Cortona,
Italy (August 2013).
Park City Mathematics Institute in Geometric Analysis, Park City, UT (July
2013).
Workshop on Geometric Analysis and Nonlinear PDEs, Rutgers University,
Piscataway, NJ (May 2013).
Curriculum Vitae, Jeremy Leach, 2
Spring Lecture Series, University of Arkansas, Fayetteville, AR (April 2012).
Graduate
Coursework
q Differential Geometry
q Microlocal Analysis
References
Rafe Mazzeo, Professor of Mathematics, Stanford University, (650) 723-1894,
[email protected]
q Partial Differential Equations
q Functional Analysis
James Isenberg, Professor of Mathematics, University of Oregon, (541) 3464725, [email protected]
Piotr Chru´
sciel, Professor of Mathematics, University of Vienna, +43 1 4277
51556, [email protected]
Curriculum Vitae, Jeremy Leach, 3