Faculty

Institution

Unit

Venue

Charles Rezk

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Charles Rezk is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Charles Rezk

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

mathematics mathematical sciences algebraic topology geometric topology higher category theory homological algebra category theory applied mathematics topology algebra categorical model power operations algebraic geometry pure mathematics universal algebra spectral theory ring theory algebraic theory topological invariants combinatorial theory representation theory logic in computer science topological algebra modular forms categorical logic commutative algebra applied algebra homotopy theory thom spectra function spaces high energy physics theoretical physics atomic spectroscopy group representation nilpotent groups loop space abstract algebra model theory complex geometry partially ordered set computational number theory modern algebra geometry of numbers topological combinatorics thom spectrum model category quillen equivalences morava stabilizer group linguistics computer science power delivery light science abstract object theory algebraic structures lie group lie theory lie algebra modulus problem kam theory diophantine analysis extremal set theory enumerative geometry homotopy theory ” homotopy theories algebra structures cartesian presentation weak equivalences weak .nck twisted r-homology hopkins-miller theorem spectra en admit

Notable Scholarly Works

Notable Federal Grants

Collaborators

Free Colimit Completion in $ #92;Infty$-Categories. Homology Homotopy and Applications (2025)

Charles Rezk

higher category theorypure mathematicsfree colimit completionalgebraic topologycategory theorymathematicsmathematical sciences

Reflections on Free Colimit Completions. Homotopy theory in honor of Paul Goerss, Northwestern (2023)

Charles Rezk

pure mathematicsfree colimit completionstopological combinatoricscategory theorymathematicsmathematical sciences

Free Colimit Completion in $\Infty$-Categories. arXiv (Cornell University) (2022)

Rezk, Charles

categorical modelmathematicsfree colimit completionalgebraic topologyhomological algebracategory theoryhigher category theoryseveral useful properties

Understanding Accessible ∞-Categories. Princeton algebraic topology seminar (2022)

Charles Rezk

higher category theoryaccessible ∞-categoriescategorical modelcategorical logiccategory theoryaccessibilitymathematicslogic in computer science

Higher Topos Theory. Toposes Online (IHES) (2021)

Charles Rezk

theoretical physicsmathematicshigher category theoryparticle physicshigher topos theory

Comparison of Models for (∞,N)‐Categories, II. Journal of Topology (2020)

Julia E. BergnerCharles Rezk

higher category theoryquillen equivalencescategorical modelapplied mathematicspure mathematicsmathematicsalgebraic topologyhomological algebracategory theorycombinatorial theorymodel theoryalgebraexplicit quillen equivalencesmodel category

Spectral Algebra Models of Unstable $$V_N$$-Periodic Homotopy Theory. Springer proceedings in mathematics & statistics (2020)

Mark BehrensCharles Rezk

kam theorytopological invariantsapplied mathematicstopologyalgebraic topologygeometric topologyspectral algebra modelsmathematicsspectral theorymathematical sciences

The Bousfield-Kuhn Functor and Topological André-Quillen Cohomology. Inventiones mathematicae (2020)

Mark BehrensCharles Rezk

topological andré-quillen cohomologytopological invariantsmathematicstopologygeometric topologyhigher category theory

Homotopy Theory: Tools and Applications. Contemporary mathematics - American Mathematical Society (2019)

Daniel DavisHans-Werner HennJ. JardineMark JohnsonCharles Rezk

higher category theorytopological hochschild homologytopological invariantshomotopy theorytopologyalgebraic theoryalgebraic topologyhomological algebracategory theorygeometric topologytopological combinatoricsmathematicscomplex orientationsgeometry and topologymathematical sciences

Looijenga Line Bundles in Complex Analytic Elliptic Cohomology. Tunisian Journal of Mathematics (2019)

Charles Rezk

extended moduli spacecomplex geometrylooijenga line bundlesalgebraic topologygeometric topologymodular formsmoduli spacemathematicsgeometry and topologyalgebraic geometry

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Charles Rezk

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Charles Rezk is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Charles Rezk

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Free Colimit Completion in $ #92;Infty$-Categories. Homology Homotopy and Applications (2025)

Charles Rezk

higher category theorypure mathematicsfree colimit completionalgebraic topologycategory theorymathematicsmathematical sciences

Reflections on Free Colimit Completions. Homotopy theory in honor of Paul Goerss, Northwestern (2023)

Charles Rezk

pure mathematicsfree colimit completionstopological combinatoricscategory theorymathematicsmathematical sciences

Free Colimit Completion in $\Infty$-Categories. arXiv (Cornell University) (2022)

Rezk, Charles

categorical modelmathematicsfree colimit completionalgebraic topologyhomological algebracategory theoryhigher category theoryseveral useful properties

Understanding Accessible ∞-Categories. Princeton algebraic topology seminar (2022)

Charles Rezk

higher category theoryaccessible ∞-categoriescategorical modelcategorical logiccategory theoryaccessibilitymathematicslogic in computer science

Higher Topos Theory. Toposes Online (IHES) (2021)

Charles Rezk

theoretical physicsmathematicshigher category theoryparticle physicshigher topos theory

Comparison of Models for (∞,N)‐Categories, II. Journal of Topology (2020)

Julia E. BergnerCharles Rezk

Spectral Algebra Models of Unstable $$V_N$$-Periodic Homotopy Theory. Springer proceedings in mathematics & statistics (2020)

Mark BehrensCharles Rezk

kam theorytopological invariantsapplied mathematicstopologyalgebraic topologygeometric topologyspectral algebra modelsmathematicsspectral theorymathematical sciences

The Bousfield-Kuhn Functor and Topological André-Quillen Cohomology. Inventiones mathematicae (2020)

Mark BehrensCharles Rezk

topological andré-quillen cohomologytopological invariantsmathematicstopologygeometric topologyhigher category theory

Homotopy Theory: Tools and Applications. Contemporary mathematics - American Mathematical Society (2019)

Daniel DavisHans-Werner HennJ. JardineMark JohnsonCharles Rezk

Looijenga Line Bundles in Complex Analytic Elliptic Cohomology. Tunisian Journal of Mathematics (2019)

Charles Rezk

extended moduli spacecomplex geometrylooijenga line bundlesalgebraic topologygeometric topologymodular formsmoduli spacemathematicsgeometry and topologyalgebraic geometry

1
2
3
4
5
10 / page

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Similar Faculty Members

Randy McCarthy

Institution

University of Illinois Urbana-Champaign

higher category theory

spectral theory

Walter F. Taylor

Institution

University of Colorado Boulder

mathematical model

topology

Prof Martin Kassabov

Institution

Cornell University

coxeter group

property tau

Inna I Zakharevich

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Cornell University

mathematical science

geometry

Slawomir Solecki

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Cornell University

mathematical logic

probability theory

Yuri Berest

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Cornell University

topology

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Lars Winther Christensen

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Texas Tech University

commutative algebra

mathematical science

Mr Marcelo Aguiar

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Cornell University

function space

hopf algebra

Keith Kearnes

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University of Colorado Boulder

mathematical logic

combinatorial theory

Kiyoshi Igusa

Institution

Brandeis University

mathematics

applied mathematics