Ellen Eischen

Ellen Eischen is an American mathematician known for contributions to number theory and automorphic forms. She has held academic positions at prominent research institutions and collaborated with leading mathematicians in algebraic geometry, representation theory, and arithmetic geometry. Her work connects p-adic analysis, Langlands program, and arithmetic aspects of automorphic L-functions.

Early life and education

Eischen was born in the United States and completed undergraduate and graduate studies at institutions with strong traditions in mathematics, interacting with scholars associated with Princeton University, Harvard University, Massachusetts Institute of Technology, University of California, Berkeley, and Stanford University. During doctoral training she was influenced by researchers linked to the Institute for Advanced Study, Mathematical Sciences Research Institute, American Mathematical Society, Society for Industrial and Applied Mathematics, and mentors connected to work on the Langlands program, Iwasawa theory, p-adic Hodge theory, automorphic representations, and modular forms. Her dissertation work intersected themes prominent at seminars held at University of Michigan, University of Chicago, Columbia University, Yale University, and University of California, Los Angeles.

Academic career

Eischen's academic appointments include positions at research universities and memberships in research institutes such as the Institute for Advanced Study, Mathematical Sciences Research Institute, and collaborations with groups at Princeton University, Harvard University, Stanford University, Massachusetts Institute of Technology, and University of California, Berkeley. She has taught courses drawing on topics from syllabi common at University of Chicago, Columbia University, Yale University, University of Michigan, and Brown University. Her professional service includes participation in conferences sponsored by the American Mathematical Society, European Mathematical Society, Clay Mathematics Institute, Simons Foundation, and workshops organized at International Centre for Theoretical Sciences, Institut des Hautes Études Scientifiques, and Banff International Research Station.

Research and contributions

Eischen's research focuses on the construction and study of p-adic families of automorphic forms and p-adic L-functions, contributing to ongoing developments in the Langlands program and Iwasawa theory. She has worked on p-adic interpolation for Eisenstein series, congruences among automorphic forms, and arithmetic applications of p-adic measures, connecting to results and techniques associated with scholars at Princeton University, Harvard University, Massachusetts Institute of Technology, Stanford University, and University of California, Berkeley. Her collaborations engage with experts in representation theory, algebraic geometry, and arithmetic geometry from institutions including Institute for Advanced Study, Mathematical Sciences Research Institute, Clay Mathematics Institute, Simons Foundation, and American Mathematical Society. Specific technical contributions relate to p-adic families on unitary groups, construction of p-adic L-functions for automorphic representations, and connections between special values of L-functions and arithmetic invariants explored in the context of the Bloch–Kato conjecture, Deligne's conjecture, and the Gross–Zagier formula.

Publications and selected works

Eischen has authored and coauthored research articles and lecture notes disseminated through journals and preprint archives frequented by mathematicians at Princeton University, Harvard University, Stanford University, Massachusetts Institute of Technology, University of California, Berkeley, and University of Chicago. Her publications address p-adic interpolation, Eisenstein series on unitary groups, p-adic differential operators, and constructions of p-adic L-functions, often cited alongside foundational works by researchers at Institute for Advanced Study, Mathematical Sciences Research Institute, Clay Mathematics Institute, Simons Foundation, and the American Mathematical Society. Selected topics include p-adic families of automorphic forms, arithmetic of special values, congruences between automorphic representations, and applications to Iwasawa-theoretic questions studied in seminars at Columbia University, Yale University, University of Michigan, and Brown University.

Awards and honors

Eischen's recognitions reflect contributions to number theory and arithmetic geometry and include invitations to speak at conferences and workshops sponsored by the American Mathematical Society, European Mathematical Society, Clay Mathematics Institute, Simons Foundation, and National Science Foundation. She has received support from research fellowships and grants associated with institutions such as the Institute for Advanced Study, Mathematical Sciences Research Institute, Clay Mathematics Institute, and national funding agencies. Her invited lectures and conference presentations place her among peers recognized by organizations including the American Mathematical Society, European Mathematical Society, and international research centers such as the Institut des Hautes Études Scientifiques and the Banff International Research Station.

Category:American mathematicians Category:Number theorists