Michael Harris
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American mathematician
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Michael Harris mathematics Degrees
Mathematics
#1029
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#1764
Historical Rank
#449
USA Rank
Measure Theory
#3103
World Rank
#3680
Historical Rank
#903
USA Rank
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Mathematics
Why Is Michael Harris Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michael Howard Harris is an American mathematician known for his work in number theory. He is a professor of mathematics at Columbia University and professor emeritus of mathematics at Université Paris Cité.
Michael Harris 's Published Works
Published Works
- The Geometry and Cohomology of Some Simple Shimura Varieties. (2002) (1059)
- A Family of Calabi–Yau Varieties and Potential Automorphy II (2010) (463)
- Automorphy for some l-adic lifts of automorphic mod l Galois representations (2008) (415)
- Theta dichotomy for unitary groups (1996) (185)
- Construction of automorphic Galois representations, II (2013) (119)
- On the rigid cohomology of certain Shimura varieties (2014) (105)
- Arithmetic vector bundles and automorphic forms on Shimura varieties. I (1985) (103)
- Arithmetic automorphic forms for the nonholomorphic discrete series of $GSp(2)$ (1992) (88)
- l-adic representations associated to modular forms over imaginary quadratic fields (1993) (82)
- Special values of zeta functions attached to Siegel modular forms (1981) (81)
- On the stabilization of the trace formula. (2011) (80)
- L-functions and periods of polarized regular motives. (1997) (77)
- Functorial Properties of Toroidal Compactifications of Locally Symmetric Varieties (1989) (69)
- Supercuspidal representations in the cohomology of Drinfel'd upper half spaces; elaboration of Carayol's program (1997) (64)
- Eisenstein series on Shimura varieties (1984) (62)
- Correction to p-adic Representations Arising from Descent on Abelian Varieties (2000) (61)
- Coherent cohomology, limits of discrete series, and Galois conjugation (1994) (53)
- A lefschetz property for subvarieties of shimura varieties (1998) (51)
- The local Langlands conjecture for GL(n) over a p-adic field, n (1996) (48)
- p-Adic L-Functions for Unitary Shimura Varieties I: Construction of the Eisenstein Measure (2006) (46)
- Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications (2009) (43)
- Beilinson–Bernstein Localization Over ℚ and Periods of Automorphic Forms (2013) (43)
- WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013) (42)
- On a conjecture of Jacquet (2001) (41)
- Boundary cohomology of Shimura varieties, II. Hodge theory at the boundary (1994) (40)
- -functions of 2×2 unitary groups and factorization of periods of Hilbert modular forms (1993) (39)
- Boundary cohomology of Shimura varieties (1994) (39)
- $\hat{G}$-local systems on smooth projective curves are potentially automorphic (2016) (36)
- Boundary cohomology of Shimura varieties. I: Coherent cohomology on toroidal compactifications (1994) (35)
- Boundary cohomology of shimura varieties, III: Coherent cohomology on higher-rank boundary strata and applications to hodge theory (2001) (32)
- L-functions and periods of adjoint motives (2013) (32)
- The rationality of holomorphic Eisenstein series (1981) (31)
- Arithmetic applications of the Langlands program (2010) (30)
- Singular holomorphic representations and singular modular forms (1982) (30)
- The Rallis inner product formula and p-adic L-functions (2005) (28)
- p-adic measures and square roots of special values of triple product L-functions (2001) (28)
- On the local Langlands correspondence (2003) (28)
- A Simple Proof of Rationality of Siegel-Weil Eisenstein Series (2008) (27)
- Local Langlands Correspondences and Vanishing Cycles on Shimura Varieties (2001) (27)
- Automorphic forms of $øverline\partial$-cohomology type as coherent cohomology classes (1990) (27)
- Conditional Base Change for Unitary Groups (2004) (26)
- Hodge-de Rham structures and periods of automorphic forms (1991) (25)
- COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS (2007) (25)
- $p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS (2016) (23)
- Whittaker rational structures and special values of the Asai $L$-function (2014) (21)
- Systematic growth of Mordell-Weil groups of abelian varieties in towers of number fields (1979) (21)
- THE LOCAL LANGLANDS CORRESPONDENCE: NOTES OF (HALF) A COURSE AT THE IHP SPRING 2000 (2005) (15)
- Regular models of certain Shimura varieties (2002) (15)
- A note on three lemmas of Shimura (1979) (14)
- Derived Hecke Algebra for Weight One Forms (2017) (14)
- Non-vanishing of L-functions of 2 × 2 unitary groups (1993) (14)
- Galois representations, automorphic forms, and the Sato-Tate Conjecture (2014) (13)
- BOUNDARY COHOMOLOGY OF SHIMURA VARIETIES, III: The nightmare continues (2000) (13)
- A note on trilinear forms for reducible representations and Beilinson’s conjectures (2001) (13)
- Period invariants of Hilbert modular forms, I: Trilinear differential operators and L-functions (1990) (12)
- The annihilators of p-adic induced modules (1980) (12)
- The Taylor–Wiles method for coherent cohomology (2013) (11)
- p-adic L-functions for unitary groups, part II: zeta-integral calculations (2016) (11)
- Speculations on the mod $p$ representation theory of $p$-adic groups (2016) (11)
- Period Relations and Special Values of Rankin-Selberg L-Functions (2016) (10)
- Covariant differential operators (1983) (8)
- Period invariants of Hilbert modular forms, II (1994) (8)
- Deligne's conjecture for automorphic motives over CM-fields, Part I: factorization (2018) (7)
- Automorphic realization of residual Galois representations (2010) (7)
- Bloch--Kato conjectures for automorphic motives (2019) (7)
- Maass operators and Eisenstein series (1981) (6)
- Chern classes of automorphic vector bundles, II (2017) (6)
- Testing rationality of coherent cohomology of Shimura varieties (2012) (5)
- Stabilization of the trace formula , Shimura varieties , and arithmetic applications Volume 1 On the Stabilization of the Trace Formula (2011) (5)
- Cytochrome P450 BM-3 in complex with its substrate: Temperature-dependent spin state equilibria in the oxidized and reduced states (2007) (5)
- Shimura Varieties for Unitary Groups and the Doubling Method (2021) (5)
- The Derived Hecke Algebra for Dihedral Weight One Forms (2022) (5)
- The Jacquet-Langlands correspondence via `-adic uniformization (2010) (5)
- Galois properties of cohomological automorphic forms on $GL (n)$ (1999) (4)
- Cyclic base change of cuspidal automorphic representations over function fields (2022) (4)
- AN INTRODUCTION TO THE STABLE TRACE FORMULA (2009) (4)
- AN INTRODUCTION TO THE STABLE TRACE FORMULA (2009) (4)
- A sometimes funny book supposedly about infinity: a review of Everything and More (2015) (4)
- $P$-adic measures for spherical representations of reductive $P$-adic groups (1982) (3)
- THE SATO-TATE CONJECTURE: INTRODUCTION TO THE PROOF (2006) (3)
- Whittaker regulators and non-critical values of the Asai $L$-function (2014) (3)
- THE SATO-TATE CONJECTURE: INTRODUCTION TO THE PROOF (2006) (3)
- ARITHMETIC OF THE OSCILLATOR REPRESENTATION (2006) (3)
- A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ (2019) (3)
- p-Adic and analytic properties of period integrals and values of L-functions (2016) (3)
- Automorphic Galois representations and the cohomology of Shimura varieties (2014) (3)
- COHOMOLOGY OF AUTOMORPHIC BUNDLES (2016) (2)
- L-Functions for Unitary Shimura Varieties I : Construction of the Eisenstein Measure To (2005) (2)
- WEIGHT ZERO EISENSTEIN COHOMOLOGY OF SHIMURA VARIETIES VIA BERKOVICH SPACES (2012) (2)
- Local parameters of supercuspidal representations (2021) (2)
- Deformations of automorphic Galois representations Fourth draft , January 2003 (2)
- p-adic measures and square roots of triple product L-functions (1996) (2)
- Beilinson–Bernstein Localization Over $\mathbb{Q}$ and Periods of Automorphic Forms: Erratum (2018) (2)
- Local Langlands correspondences (2022) (1)
- The Tao of Thomas Pynchon (2010) (1)
- Square root p-adic L-functions, I : Construction of a one-variable measure (2019) (1)
- N T ] 2 3 O ct 1 99 6 p-adic measures and square roots of special values of triple product L-functions by (1996) (0)
- N T ] 2 1 N ov 2 00 1 On a conjecture of Jacquet by (2018) (0)
- Incorrigible Representations (2018) (0)
- REALIZATION OF RESIDUAL GALOIS REPRESENTATIONS (2008) (0)
- Potential automorphy of Ĝ-local systems (2018) (0)
- On the rigid cohomology of certain Shimura varieties (2016) (0)
- Construction of $p$-adic $L$-functions for unitary groups (2015) (0)
- IV.1. UNITARY GROUPS AND BASE CHANGE (2007) (0)
- On the generalized Ramanujan conjecture over function fields (2022) (0)
- The Taylor-Wiles method for coherent cohomology, II (2021) (0)
- Galois representations, automorphic forms, and the Sato-Tate Conjecture (2014) (0)
- Mathematics: The mercurial mathematician (2015) (0)
- AUTOMORPHIC REPRESENTATIONS OF INNER FORMS OF GL(2) (2007) (0)
- p-Adic and analytic properties of period integrals and values of L-functions (2016) (0)
- An Automorphic Reading of Thomas Pynchon’s Against the Day (Interrupted by Elliptical Reflections on Mason & Dixon) (2017) (0)
- Shimura Varieties (2020) (0)
- Q A ] 9 A ug 2 00 5 Covariant q-differential operators and unitary highest weight representations for U q su n , n (2005) (0)
- Simplicity: Ideals of Practice in Mathematics and the Arts by Roman Kossak & Philip Ording (eds.) (2019) (0)
- 3-Manifold Perspective on Surface Homeomorphisms for Surfaces with Very Negative Euler Characteristic (2017) (0)
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