Eugenia Cheng

Eugenia Cheng
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Name	Eugenia Cheng
Birth date	1976
Birth place	United Kingdom
Nationality	British
Occupation	Mathematician, author, pianist
Known for	Category theory, public mathematics communication, books combining mathematics and culture
Alma mater	University of Oxford, Massachusetts Institute of Technology

Eugenia Cheng is a British mathematician, author, pianist, and public intellectual known for her work in category theory and for bringing abstract mathematics to broad audiences through books, lectures, and media appearances. She has held academic posts at leading institutions and authored works that connect mathematics with music, cooking, and philosophy. Cheng combines rigorous research with public engagement, contributing to scholarly literature and popular culture.

Early life and education

Cheng was born in the United Kingdom and raised in a family environment influenced by music and migration. She studied at University of Oxford, where she completed undergraduate and graduate work in mathematics under supervisors connected to schools associated with algebra and category theory. She moved to the United States to pursue doctoral studies at Massachusetts Institute of Technology, earning a Ph.D. with research tied to category theory and connections to algebraic topology and higher category theory.

Academic career

Cheng held academic appointments at institutions including the University of Chicago and the University of Sheffield before joining the University of Chicago as a faculty member in the pure mathematics division. Her academic career has included teaching undergraduate and graduate courses, supervising research students, and participating in departmental governance tied to research groups in algebra and category theory. Cheng has been a visiting scholar at research centers associated with homotopy theory and mathematical physics, collaborating with researchers affiliated with institutes such as Clay Mathematics Institute-associated programs and workshops at Mathematical Sciences Research Institute.

Research and mathematical contributions

Cheng's research focuses on category theory, including its applications to algebraic topology, representation theory, and logic. She has published papers on topics such as monoidal categories, bicategories, and the categorification of algebraic structures, engaging with frameworks used by researchers at Institute for Advanced Study and in seminars connected to n-category theory. Her work has built on and interacted with foundational contributions from figures linked to Mac Lane, Grothendieck, and contemporaries in the category theory community, addressing coherence theorems, adjoint functor phenomena, and diagrammatic reasoning. Cheng's scholarship includes collaborations that interface with techniques from knot theory and quantum algebra, contributing to cross-disciplinary dialogues with scholars in mathematical physics and computer science.

Popular science, writing, and public engagement

Cheng is widely known for books and essays that translate abstract mathematics into accessible narratives for readers of The Guardian, New York Times, and public broadcasters. Her books include titles that link category theory and everyday subjects such as cooking and music, inviting audiences from cultural sectors connected to culinary arts and concert audiences. She has appeared on programs produced by broadcasters like BBC and NPR, and has delivered public lectures at venues including Royal Institution and festivals such as Hay Festival and Edinburgh Festival Fringe. Cheng's writing style often references traditions from Western classical music and established literary forums, weaving examples that appeal to readers familiar with personalities from classical music and philosophy.

Teaching, outreach, and advocacy

Cheng has developed pedagogical approaches to teach abstract concepts from category theory to students in mathematics departments at institutions similar to University of Chicago and has designed outreach programs aimed at broadening participation in theoretical fields. She advocates for inclusion and accessibility in academic settings, engaging with organizations and initiatives that intersect with gender equity and diversity in STEM, such as networks connected to Association for Women in Mathematics and university diversity offices. Her workshops and masterclasses have been presented at conferences organized by groups like Mathematical Association of America and American Mathematical Society, and she has contributed to MOOCs and public lecture series run by cultural institutions and educational platforms.

Awards and honours

Cheng's contributions to mathematics and public communication have been recognized by awards and invitations to lecture at leading institutions. She has received fellowships and invited speaking slots at conferences sponsored by organizations such as London Mathematical Society, Institute of Mathematics and its Applications, and international research programs associated with European Research Council-funded events. Her popular writing and public engagement have earned honors from arts and science festivals, academic societies, and press recognition in outlets including The New Yorker and Times Literary Supplement.

Personal life and background

Cheng is an accomplished pianist with performance experience in venues linked to conservatoires and recital series, often referencing influences from Western classical music traditions and collaborations with musicians trained at institutions like Royal College of Music and conservatories associated with Juilliard School. Her multicultural background informs her perspectives on migration, identity, and cultural exchange, reflected in public lectures that intersect with themes from immigration narratives and diasporic communities in cities such as London and Chicago. Cheng balances academic work with public-facing projects, contributing to debates that involve academics, artists, and cultural institutions.

Category:British mathematicians Category:Women mathematicians