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According to Wikipedia , Charles Waldo Rezk is an American mathematician, specializing in algebraic topology, category theory, and spectral algebraic geometry. Education and career Rezk matriculated at the University of Pennsylvania in 1987 and graduated there in 1991 with B.A. and M.A. in mathematics. In 1996 he received his PhD from MIT with thesis Spaces of Algebra Structures and Cohomology of Operads and advisor Michael J. Hopkins. At Northwestern University Rezk was a faculty member from 1996 to 2001. At the University of Illinois he was an assistant professor from 2001 to 2006 and an associate professor from 2006 to 2014 and is a full professor since 2014.
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2000 2010 2020 0 50 100 150 200 250 300 350 400 450 500 550 600 650 Published Works A model for the homotopy theory of homotopy theory (1998) SPECTRAL ALGEBRAIC GEOMETRY (2020) (183)Notes on the Hopkins-Miller theorem (1998) A cartesian presentation of weak n–categories (2009) Spaces of algebra structures and cohomology of operads (1996) (142)A resolution of the K(2)-local sphere at the prime 3 (2005) MULTIPLICATIVE ORIENTATIONS OF KO-THEORY AND OF THE SPECTRUM OF TOPOLOGICAL MODULAR FORMS (2006) (87)An ∞‐categorical approach to R‐line bundles, R‐module Thom spectra, and twisted R‐homology (2014) Simplicial structures on model categories and functors (2001) Topological Modular Forms of Level 3 (2008) Units of ring spectra and Thom spectra (2008) (65)Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory (2014) Every homotopy theory of simplicial algebras admits a proper model (2000) The units of a ring spectrum and a logarithmic cohomology operation (2004) The congruence criterion for power operations in Morava $E$-theory (2009) Fibrations and homotopy colimits of simplicial sheaves (1998) (45)Reedy categories and the Θ -construction (2011) (42)On Hopkins’ Picard groups for the prime 3 and chromatic level 2 (2012) Brown-Comenetz duality and the Adams spectral sequence (1999) Comparison of models for (∞,n) ‐categories, II (2020) Reedy categories and the $$\varTheta $$-construction (2013) Rings of power operations for Morava E-theories are Koszul (2012) (26)Power operations for Morava E-theory of height 2 at the prime 2 (2008) (24)A MODEL CATEGORY FOR CATEGORIES (2021) (23)Comparison of models for $(\infty, n)$-categories, II (2012) TOPOSES AND HOMOTOPY TOPOSES (VERSION 0.15) (2010) (17)SUPPLEMENTARY NOTES FOR MATH 512 (VERSION 0.18) (2002) (16)Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory (2015) The Bousfield-Kuhn functor and topological André-Quillen cohomology (2017) PROOF OF THE BLAKERS-MASSEY THEOREM (2015) (11)Modular isogeny complexes (2011) Correction to “A cartesian presentation of weak n–categories” (2010) A streamlined proof of Goodwillie’s n–excisive approximation (2008) POWER OPERATIONS IN MORAVA E-THEORY: STRUCTURE AND CALCULATIONS (DRAFT) (2013) (7)COMPARISON OF MODELS FOR (1;n)-CATEGORIES, I (2013) (7)Reedy categories and the $\Theta$-construction (2011) (6)Looijenga line bundles in complex analytic elliptic cohomology (2016) Isogenies, power operations, and homotopy theory (2014) (5)Classifying spaces for 1-truncated compact Lie groups (2016) COMPACTLY GENERATED SPACES (2017) Homotopy Theory: Tools and Applications (2019) Frobenius Pairs and Atiyah Duality (2013) (2)Analytic Completion (draft) (2013) (1)Power operations in Morava E-theory (2009) (1)ETALE EXTENSIONS OF λ-RINGS (2014) (1)DEGENERATE EDGES OF CARTESIAN FIBRATIONS ARE CARTESIAN EDGES (2019) (1)POWER OPERATION CALCULATIONS IN HEIGHT 2 MORAVA (2013) (0)MATH 428: SOLUTIONS TO MIDTERM (2019) (0)on the Hopkins-Miller Theorem (2004) (0)COMPLEX ANALYTIC ELLIPTIC COHOMOLOGY AND DOUBLE LOOP GROUPS (TALK: REGENSBURG, JUNE 2017) (2017) (0)LECTURE NOTES FOR 416, INNER PRODUCTS AND SPECTRAL THEOREMS (2012) (0)The Bousfield-Kuhn functor and topological André-Quillen cohomology (2020) LECTURE NOTES FOR 416: JORDAN CANONICAL FORM (2012) (0)ELLIPTIC COHOMOLOGY AND ELLIPTIC CURVES (FELIX KLEIN LECTURES, BONN 2015) (2016) (0)Free colimit completion in $\infty$-categories (2022) (0)LAMBDA ALGEBRA UNSTABLE COMPOSITION PRODUCTS AND THE Λ EHP SEQUENCE (2005) (0)More Papers This paper list is powered by the following services:
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