Haynes Miller
American mathematician
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Mathematics
Haynes Miller's Degrees
- PhD Mathematics Princeton University
Why Is Haynes Miller Influential?
(Suggest an Edit or Addition)According to Wikipedia, Haynes Robert Miller is an American mathematician specializing in algebraic topology. Miller completed his undergraduate study at Harvard University and earned his PhD in 1974 under the supervision of John Coleman Moore at Princeton University with thesis Some Algebraic Aspects of the Adams–Novikov Spectral Sequence. After his PhD, he became an assistant professor at Harvard and at Northwestern University, from 1977 at the University of Washington, and from 1984 a professor at the University of Notre Dame. Since 1986 he is a professor at the Massachusetts Institute of Technology . From 1992 to 1993 he was MIT's Chair of the Committee for Pure Mathematics, since 2004 Chair of the Undergraduate Mathematics Committee, and since 2005 MacVicar Faculty Fellow. His doctoral students at MIT include Brooke Shipley.
Haynes Miller's Published Works
Published Works
- The Sullivan conjecture on maps from classifying spaces (1984) (336)
- Periodic phenomena in the Adams-Novikov spectral sequence (1977) (290)
- On relations between Adams spectral sequences, with an application to the stable homotopy of a moore space (1981) (132)
- The Segal conjecture for elementary abelian p-groups (1985) (126)
- Morava stabilizer algebras and the localization of Novikov’s $E_2$-term (1977) (88)
- Finite Localizations (1997) (71)
- Homotopical uniqueness of classifying spaces (1992) (64)
- The unstable Adams spectral sequence for generalized homology (1978) (57)
- Initial conditions, generalized functions, and the laplace transform troubles at the origin (2007) (53)
- The homotopic uniqueness of BS3 (1987) (44)
- Fibrewise completion and unstable Adams spectral sequences (1989) (41)
- Inverting the Hopf map (2017) (31)
- Stable splitting of Stiefel manifolds (1985) (30)
- Vanishing lines for modules over the Steenrod algebra (1981) (28)
- A localization theorem in homological algebra (1978) (27)
- equivariant function spaces and characteristic classes (1986) (27)
- Some algebraic aspects of the Adams-Novikov spectral sequence (1975) (26)
- A SPECTRAL SEQUENCE FOR THE HOMOLOGY OF AN INFINITE DELOOPING (1978) (26)
- STABLE SPLITTINGS OF STIEFEL MANIFOLDS (2001) (25)
- On Novikov's ext1 modulo an invariant prime ideal (1976) (24)
- Correction to "The Sullivan Conjecture on Maps from Classifying Space" (1985) (23)
- ON THE DOUBLE SUSPENSION HOMOMORPHISM AT ODD PRIMES (1982) (21)
- Flag Manifolds and the Landweber – Novikov Algebra (1998) (20)
- Computer Manipulatives in an Ordinary Differential Equations Course: Development, Implementation, and Assessment (2008) (18)
- Massey-peterson towers and maps from classifying spaces (1984) (16)
- Proceedings of the Northwestern Homotopy Theory Conference (1983) (16)
- Handbook of Homotopy Theory (2019) (15)
- Elliptic cohomology : geometry, applications, and higher chromatic analogues (2007) (14)
- The Sullivan conjecture (1983) (14)
- Leray in Oag XVIIA: The origins of sheaf theory, sheaf cohomology, and spectral sequences (2000) (10)
- S ^ EQUIVARIANT FUNCTION SPACES AND CHARACTERISTIC CLASSES (2009) (10)
- On the K‐Theory of the Kahn–Priddy Map (1979) (9)
- Advances in Homotopy Theory: Looping Massey-Peterson towers (1989) (9)
- ON THE DOUBLE SUSPENSION HOMOMORPHISM (1982) (8)
- SHEAVES , GRADINGS , AND THE EXACT FUNCTOR THEOREM (8)
- The Burnside bicategory of groupoids (2012) (7)
- Novikov's ${\text{Ext}}^2$ and the nontriviality of the gamma family (1975) (7)
- An algebraic analogue of a conjecture of G. W. Whitehead (1982) (7)
- On Jones's Kahn-Priddy theorem (1990) (7)
- Mark Mahowald's work on the homotopy groups of spheres (1992) (6)
- Ellitpic curves and stable homotopy I (2014) (5)
- More on the anti-automorphism of the Steenrod algebra (2011) (5)
- A Brief Treatment of Generalized Functions for Use in Teaching the Laplace Transform (2006) (5)
- On G and the stable adams conjecture (1978) (4)
- 22 Initial Conditions, Generalized Functions, and the Laplace Transform (2007) (4)
- KERVAIRE INVARIANT ONE [ after (2010) (3)
- Computer-Assisted Explorations in Mathematics: Pedagogical Adaptations across the Atlantic (2007) (3)
- A marriage of manifolds and algebra : the mathematical work of Peter Landweber (2007) (2)
- Kervaire Invariant One [after M. A. Hill, M. J. Hopkins, and D. C. Ravenel] (2011) (2)
- On a spectral sequence for the cohomology of infinite loop spaces (2013) (2)
- Crosslinks: Improving course connectivity using online open educational resources (2016) (2)
- Ian Grojnowski's "delocalized equivariant elliptic cohomology'' (2007) (2)
- A marriage of manifolds and algebra : the mathematical work of Peter Landweber (2007) (2)
- THE ADAMS SPECTRAL SEQUENCE: COURSE NOTES (2012) (1)
- Interactive Applets in Calculus and Engineering Courses (2013) (1)
- Language, Technology, and Engagement in the Haitian Classroom: An Interim Report on the MIT-Haiti Initiative (2019) (1)
- Algebraic topology : proceedings of an International Conference held in Arcata, California, July 27-August 2, 1986 (1989) (1)
- Algebraic topology : proceedings of a workshop held at the University of Washington, Seattle, 1985 (1987) (0)
- Huang Crosslinks Improving Course Connectivity Using Online (2016) (0)
- The Cech Centennial: A Conference on Homotopy Theory June 22-26, 1993 Northeastern University (1994) (0)
- This approximation definitely breaks down in characteristic p : The André-Quillen cohomology of a polynomial algebra vanishes in positive dimensions (2023) (0)
- Franklin P. Peterson (1930–2000), Volume 48, Number 10 (2001) (0)
- More on the antiautomorphism of the Steenrod algebra (2011) (0)
- Franklin P. Peterson (1930–2000), Volume 48, Number 10 (2001) (0)
- Elliptic Cohomology: Preface (2007) (0)
- Lectures on Algebraic Topology (2021) (0)
- Harrison homology and the Quillen cohomology of commutative monoids (2022) (0)
- K and L-theory (1989) (0)
- Kervaire Invariant One Following (2010) (0)
- Nonabelian Cohomology and Obstructions, following Wojtkowiak [2] (2001) (0)
- 18.03 Differential Equations, Spring 2006 (2004) (0)
- OF THE AMERICAN MATHEMATICAL SOCIETY Volume 9 , Number 1 , July 1983 THE SULLIVAN CONJECTURE BY (2007) (0)
- The Burnside bicategory of groupoids (2016) (0)
- HECKE OPERATORS AS OPERATIONS IN ELLIPTIC COHOMOLOGY yAndrew (1991) (0)
- Charles Thomas, 1938–2005 (2007) (0)
- A spectral sequence for the cohomology of an infinite loop space (2013) (0)
- A Laboratory Course in Mathematics (2015) (0)
- AN ALGEBRAIC ANALOGUE OF A CONJECTURE OF (2010) (0)
- Four New Things (2014) (0)
- A possible hierarchy of Morava K-theories (2007) (0)
- AN ALGEBRAIC ANALOGUE OF A (2010) (0)
- Computer Manipulatives and Student Engagement in an Online Mathematics Course (2020) (0)
- Notes on Clark Barwick's Operator Categories (0)
- VI. Mapping Telescopes and K*-Localization (1988) (0)
- Comodules, sheaves, and the exact functor theorem (2019) (0)
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