HR job title
- Retired Professor
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Howe, Roger Professor
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Overview
Publications
selected publications
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academic article
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Gurevich, S., & Howe, R.
(2021).
Ranks for representations of GL(n) over finite fields, their agreement, and positivity of Fourier transform. Indagationes Mathematicae.
32(6), 1332-1371.
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Gurevich, S., & Howe, R.
(2021).
Harmonic analysis on GL(n) over finite fields. 17(4), 1387-1463.
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Gurevich, S., & Howe, R.
(2020).
Rank and duality in representation theory. Japanese Journal of Mathematics.
15(2), 223-309.
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Can, M. B., Howe, R., & Joyce, M.
(2017).
An analogue of Springer fibers in certain wonderful compactifications. Journal of Algebra and Its Applications.
16(9), 1750172-1750172.
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Howe, R., Kim, S., & Lee, S. T.
(2017).
DOUBLE PIERI ALGEBRAS AND ITERATED PIERI ALGEBRAS FOR THE CLASSICAL GROUPS. American Journal of Mathematics.
139(2), 347-401.
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Howe, R., Lavicka, R., Lee, S. T., & Soucek, V.
(2017).
A reciprocity law and the skew Pieri rule for the symplectic group. Journal of Mathematical Physics.
58(3), 031702-031702.
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Howe, R., & Ziegler, F.
(2015).
Bohr density of simple linear group orbits. Ergodic Theory and Dynamical Systems.
35(3), 910-914.
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Saul, M., Bass, H., Wu, H., Jacob, B., Bishop, W., Howe, R., & Harel, G.
(2015).
Response to the Elizabeth Green Article. Notices of the American Mathematical Society.
62(05), 508-514.
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Howe, R.
(2014).
The Teachers Institute Approach to professional Development. The Montana Math Enthusiast.
11(1), 41-47.
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Howe, R. E.
(2013).
The Cuoco Configuration. American Mathematical Monthly.
120(10), 916-923.
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Can, M. B., Howe, R., & Joyce, M.
(2013).
Unipotent invariant matrices. Linear Algebra and Its Applications.
439(1), 196-210.
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Howe, R., & Lee, S. T.
(2012).
WHY SHOULD THE LITTLEWOOD-RICHARDSON RULE BE TRUE?. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
49(2), 187-236.
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Gurevich, S., Hadani, R., & Howe, R.
(2010).
Quadratic Reciprocity and the Sign of the Gauss Sum via the Finite Weil Representation. International mathematics research notices.
2010(19), 3729-3745.
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Howe, R., Jackson, S., Lee, S. T., Tan, E., & Willenbring, J.
(2009).
Toric degeneration of branching algebras. Advances in Mathematics.
220(6), 1809-1841.
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Howe, R., Tan, E., & Willenbring, J. F.
(2008).
THE STABILITY OF GRADED MULTIPLICITY IN THE SETTING OF THE KOSTANT-RALLIS THEOREM. Transformation Groups.
13(3-4), 617-636.
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Howe, R., & Lee, S. T.
(2007).
Bases for some reciprocity algebras I. Transactions of the American Mathematical Society.
359(9), 4359-4387.
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Howe, R., & Lee, S. T.
(2006).
Bases for some reciprocity algebras III. Compositio Mathematica.
142(6), 1594-1614.
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Howe, R., & Lee, S. T.
(2006).
Bases for some reciprocity algebras II. Advances in Mathematics.
206(1), 145-210.
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Howe, R.
(2005).
Nice error bases, mutually unbiased bases, induced representations, the Heisenberg group and finite geometries. Indagationes Mathematicae.
16(3-4), 553-583.
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Howe, R., Tan, E. C., & Willenbring, J. F.
(2005).
Stable branching rules for classical symmetric pairs. Transactions of the American Mathematical Society.
357(4), 1601-1626.
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Howe, R. E., Tan, E., & Willenbring, J. F.
(2005).
A basis for the GLn tensor product algebra. Advances in Mathematics.
196(2), 531-564.
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Howe, R., & Zhu, C. B.
(2002).
Eigendistributions for orthogonal groups and representations of symplectic groups. Journal für die Reine und Angewandte Mathematik.
545(545), 121-166.
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Howe, R.
(2002).
Hermione Granger's Solution. The Mathematics Teacher.
95(2), 86-89.
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Horvath, J., & Howe, R.
(2000).
The natural representation of the stabilizer of four subspaces. Transactions of the American Mathematical Society.
352(12), 5795-5815.
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Howe, R., & Lee, S. T.
(1999).
Degenerate principal series representations of GL(n)(C) and GL(n)(R). Journal of Functional Analysis.
166(2), 244-309.
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Howe, R., & Huang, R.
(1996).
Projective invariants of four subspaces. Advances in Mathematics.
118(2), 295-336.
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Barany, I., Howe, R., & Scarf, H. E.
(1994).
Complex of maximal lattice free simplices. Mathematical programming.
66(3), 273-281.
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BARANY, I., HOWE, R., & SCARF, H. E.
(1994).
THE COMPLEX OF MAXIMAL LATTICE FREE SIMPLICES. Mathematical programming.
66(3), 273-281.
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Howe, R. E., & Tan, E.
(1993).
Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
28(1), 1-74.
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DUKE, W., HOWE, R., & LI, J. S.
(1992).
ESTIMATING HECKE EIGENVALUES OF SIEGEL MODULAR-FORMS. DUKE MATHEMATICAL JOURNAL.
67(1), 219-240.
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AUBERT, A. M., & HOWE, R.
(1992).
GEOMETRY OF ACUTE CONES AND APPLICATION TO EUCLIDEAN PROJECTION ON THE POSITIVE WEYL CHAMBER. Journal of Algebra.
149(2), 472-493.
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BARANY, I., HOWE, R., & LOVASZ, L.
(1992).
ON INTEGER POINTS IN POLYHEDRA - A LOWER BOUND. Combinatorica: an international journal on combinatorics and the theory of computing.
12(2), 135-142.
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HOWE, R., & UMEDA, T.
(1991).
THE CAPELLI IDENTITY, THE DOUBLE COMMUTANT THEOREM, AND MULTIPLICITY-FREE ACTIONS. Mathematische Annalen.
290(3), 565-619.
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HOWE, R., & MOY, A.
(1990).
HECKE ALGEBRA ISOMORPHISMS FOR GL(N) OVER A P-ADIC FIELD. Journal of Algebra.
131(2), 388-424.
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Howe, R.
(1990).
Erratum to: Remarks on classical invariant theory. Transactions of the American Mathematical Society.
318(2), 823-823.
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Oates-Williams, S., Howe, R. E., & Zoll, P. F.
(1989).
Letters to the Editor. American Mathematical Monthly.
96(8), 708-710.
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HOWE, R.
(1989).
ASYMPTOTICS OF DIMENSIONS OF INVARIANTS FOR FINITE-GROUPS. Journal of Algebra.
122(2), 374-379.
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Howe, R. E., & Rosenberg, J.
(1989).
The unitary representation theory of GL(n) of an infinite discrete field. Israel Journal of Mathematics.
67(1), 67-81.
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Howe, R.
(1989).
Remarks on classical invariant theory. Transactions of the American Mathematical Society.
313(2), 539-570.
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Howe, R.
(1989).
Transcending classical invariant theory. Journal of the American Mathematical Society.
2(3), 535-552.
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Howe, R.
(1988).
Automatic continuity of concave functions. Proceedings of the American Mathematical Society.
103(4), 1196-1200.
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Howe, R.
(1987).
(GLn, GLm)-duality and symmetric plethysm. Proceedings: Mathematical Sciences.
97(1-3), 85-109.
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HOWE, R.
(1987).
SECTIONS AND EXTENSIONS OF CONCAVE FUNCTIONS. Journal of Mathematical Economics.
16(1), 53-64.
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Benson, D., Feit, W., & Howe, R.
(1986).
Finite Linear Groups, the Commodore 64, Euler and Sylvester. American Mathematical Monthly.
93(9), 717-719.
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Helton, J. W., & Howe, R. E.
(1986).
A Bang-Bang theorem for optimization over spaces of analytic functions. Journal of Approximation Theory.
47(2), 101-121.
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Howe, R.
(1984).
Correction to Very Basic Lie Theory. American Mathematical Monthly.
91(4), 247-247.
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Howe, R.
(1983).
Very Basic Lie Theory. American Mathematical Monthly.
90(9), 600-623.
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HOWE, R., & PIATETSKISHAPIRO, I. I.
(1983).
SOME EXAMPLES OF AUTOMORPHIC-FORMS ON SP4. DUKE MATHEMATICAL JOURNAL.
50(1), 55-106.
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HOWE, R.
(1982).
MOST CONVEX-FUNCTIONS ARE SMOOTH. Journal of Mathematical Economics.
9(1-2), 37-39.
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HOWE, R.
(1980).
QUANTUM-MECHANICS AND PARTIAL-DIFFERENTIAL EQUATIONS. Journal of Functional Analysis.
38(2), 188-254.
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HOWE, R.
(1980).
ON THE ROLE OF THE HEISENBERG-GROUP IN HARMONIC-ANALYSIS. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
3(2), 821-843.
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HOWE, R.
(1979).
SOME RESULTS OF STRICHARTZ AND OF RALLIS AND SCHIFFMAN. Journal of Functional Analysis.
32(3), 297-303.
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Howe, R. E., & Moore, C. C.
(1979).
Asymptotic properties of unitary representations. Journal of Functional Analysis.
32(1), 72-96.
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GELBART, S., HOWE, R., & PIATETSKISHAPIRO, I.
(1979).
UNIQUENESS AND EXISTENCE OF WHITTAKER MODELS FOR THE METAPLICTIC GROUP. Israel Journal of Mathematics.
34(1-2), 21-37.
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Howe, R.
(1977).
Some qualitative results on the representation theory of Gl n over a p -adic field. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 479-538.
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Howe, R.
(1977).
Tamely ramified supercuspidal representations of Gl n. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 437-460.
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Corwin, L., & Howe, R. E.
(1977).
Computing characters of tamely ramified p-adic division algebras. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 461-478.
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Howe, R. E.
(1977).
Kirillov theory for compact p-adic groups. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 365-382.
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Howe, R. E.
(1977).
On a connection between nilpotent groups and oscillatory integrals associated to singularities. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 329-364.
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Howe, R. E.
(1977).
On representations of discrete, finitely generated, torsion-free, nilpotent groups. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 281-306.
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Howe, R. E.
(1977).
The fourier transform for nilpotent locally compact groups: I. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 307-328.
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Howe, R. E.
(1977).
Topics in harmonic analysis on solvable algebraic groups. PACIFIC JOURNAL OF MATHEMATICS.
73(2), 383-436.
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Howe, R., & Silberger, A.
(1976).
Any unitary principal series representation of ( G L ) n (GL)_{n} over a p p -adic field is irreducible. Proceedings of the American Mathematical Society.
54(1), 376-378.
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Helton, J. W., & Howe, R. E.
(1975).
Traces of commutators of integral operators. Acta Mathematica.
135(1), 271-305.
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HOWE, R., & SILBERGER, A.
(1975).
WHY ANY UNITARY PRINCIPAL SERIES REPRESENTATION OF SLN OVER A P-ADIC FIELD DECOMPOSES SIMPLY. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
81(3), 599-601.
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Howe, R.
(1974).
The Fourier transform and germs of characters (case of Gln over ap-adic field). Mathematische Annalen.
208(4), 305-322.
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Travis, C. C.
(1973).
Comparison of eigenvalues for linear differential equations of order 2 n 2n. Transactions of the American Mathematical Society.
177(0), 363-374.
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Howe, R. E.
(1973).
On the character of Weils representation. Transactions of the American Mathematical Society.
177(0), 287-298.
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Howe, R. E.
(1973).
On the principal series of Gl n extrm {Gl}_{n} over p p -adic fields. Transactions of the American Mathematical Society.
177(0), 275-286.
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Howe, R.
(1972).
The Brauer group of a compact Hausdorff space and n n -homogeneous C C^{ast } -algebras. Proceedings of the American Mathematical Society.
34(1), 209-214.
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Howe, R.
(1971).
Representation theory for division algebras over local fields (tamely ramified case). BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
77(6), 1063-1066.
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Douglas, R. G., & Howe, R.
(1971).
On the C C^* -algebra of Toeplitz operators on the quarterplane. Transactions of the American Mathematical Society.
158(1), 203-217.
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Gurevich, S., & Howe, R.
(2021).
Ranks for representations of GL(n) over finite fields, their agreement, and positivity of Fourier transform. Indagationes Mathematicae.
32(6), 1332-1371.
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chapter
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Gurevich, S., & Howe, R.
(2020).
The Pieri Rule for GLn Over Finite Fields. Operator Theory Advances and Applications.
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology.
(pp. 313-332).
Springer Nature.
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Gurevich, S., & Howe, R.
(2017).
Small Representations of Finite Classical Groups. Progress in Mathematics.
Representation Theory, Number Theory, and Invariant Theory.
(pp. 209-234).
Springer Nature.
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Howe, R., Kim, S., & Lee, S. T.
(2017).
Standard Monomial Theory for Harmonics in Classical Invariant Theory. Progress in Mathematics.
Representation Theory, Number Theory, and Invariant Theory.
(pp. 265-302).
Springer Nature.
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Howe, R.
(2014).
Pieri algebras and Hibi algebras in representation theory. Progress in Mathematics.
Symmetry: Representation Theory and Its Applications.
(pp. 353-384).
Springer Nature.
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Howe, R.
(2014).
Three Pillars of First Grade Mathematics, and Beyond. Li, Y., & Lappan, G. (Eds.),
Mathematics Curriculum in School Education.
(pp. 183-207).
Springer Nature.
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Howe, R.
(2012).
Traces of Commutators of Integral Operators the Aftermath. Operator Theory Advances and Applications.
Mathematical Methods in Systems, Optimization, and Control.
(pp. 221-231).
Springer Nature.
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Howe, R.
(2010).
On A Notion of Rank for Unitary Representations of the Classical Groups. Harmonic Analysis and Group Representation.
(pp. 224-331).
Springer Nature.
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Brny, I., Howe, R., & Scarf, H. E.
(2008).
The complex of maximal lattice free simplices. Herbert Scarfs Contributions to Economics, Game Theory and Operations Research.
(pp. 155-163).
Springer Nature.
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Howe, R.
(2002).
Affine-like Hecke algebras and p-adic representation theory. Lecture Notes in Mathematics.
Iwahori-Hecke Algebras and their Representation Theory.
(pp. 27-69).
Springer Nature.
-
Howe, R.
(1994).
The Invariants of Degree up to 6 of all n-ary m-ics. Progress in Mathematics.
Lie Theory and Geometry.
(pp. 335-348).
Springer Nature.
-
Howe, R., & Tan, E. C.
(1992).
Applications to Analysis. Non-Abelian Harmonic Analysis.
(pp. 121-202).
Springer Nature.
-
Howe, R., & Tan, E. C.
(1992).
Asymptotics of Matrix Coefficients. Non-Abelian Harmonic Analysis.
(pp. 203-242).
Springer Nature.
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Howe, R., & Tan, E. C.
(1992).
Preliminaries. Non-Abelian Harmonic Analysis.
(pp. 1-50).
Springer Nature.
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Howe, R., & Tan, E. C.
(1992).
Representations of the Lie Algebra of SL(2, ). Non-Abelian Harmonic Analysis.
(pp. 51-92).
Springer Nature.
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Howe, R., & Tan, E. C.
(1992).
Unitary Representations of the Universal Cover of SL(2, ). Non-Abelian Harmonic Analysis.
(pp. 93-120).
Springer Nature.
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Howe, R., & Stone, R.
(1983).
Linear Complementarity and the Degree of Mappings. Homotopy Methods and Global Convergence.
(pp. 179-223).
Springer Nature.
-
Howe, R.
(1983).
On a Class of Linear Complementarity Problems of Variable Degree. Homotopy Methods and Global Convergence.
(pp. 155-177).
Springer Nature.
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Howe, R.
(1981).
Automorphic forms of low rank. Lecture Notes in Mathematics.
Non Commutative Harmonic Analysis and Lie Groups.
(pp. 211-248).
Springer Nature.
-
Gurevich, S., & Howe, R.
(2020).
The Pieri Rule for GLn Over Finite Fields. Operator Theory Advances and Applications.
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology.
(pp. 313-332).
Springer Nature.
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conference paper
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Howe, R.
(2016).
A linear algebra description of K-C G(C)/B-C for classical groups. Contemporary Mathematics.
149-172.
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Howe, R., & Lee, S. T.
(2014).
Structure of holomorphic unitary representations: the case of U-2,U-2. Contemporary Mathematics.
139-170.
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Howe, R. E.
(2012).
On the Tendency Toward Convexity of the Vector Sum of Sets. Springer Proceedings in Mathematics and Statistics.
67-76.
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Howe, R., & Kraft, H.
(1998).
Principal covariants, multiplicity-free actions, and the K-types of holomorphic discrete series. Progress in Mathematics.
147-161.
-
Howe, R.
(2016).
A linear algebra description of K-C G(C)/B-C for classical groups. Contemporary Mathematics.
149-172.
-
institutional repository document
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Gurevich, S., Hadani, R., & Howe, R.
(2008).
Quadratic reciprocity and the sign of the Gauss sum via the finite Weil representation
-
Gurevich, S., Hadani, R., & Howe, R.
(2008).
Quadratic reciprocity and the sign of the Gauss sum via the finite Weil representation
Research
principal investigator on
investigator on
Teaching
teaching activities
- EDCI691 Research Instructor
Works By Students
chaired theses and dissertations
-
Foran, Alexandra Lair (2018-06). Problem Posing to Promote Cognitive Flexibility in Mathematics Teacher Preparation Programs.
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Foran, Alexandra Lair (2018-08). Problem Posing to Promote Cognitive Flexibility in Mathematics Teacher Preparation Programs.
Background
education and training
- Ph.D. in Mathematics, University of California, Berkeley - (Berkeley, California, United States) 1969
awards and honors
- Award for Distinguished Public Service, conferred by American Mathematical Society - (Providence, Rhode Island, United States), 2006
- Members/Foreign Associates, conferred by National Academy of Sciences - (Washington D.C., District of Columbia, United States), 1994
- Fellow, conferred by American Academy of Arts and Sciences - (Cambridge, Massachusetts, United States), 1993
- Lester R Ford Award, conferred by Mathematical Association of America - (Washington D.C., District of Columbia, United States), 1984
- Fellowship, conferred by John Simon Guggenheim Memorial Foundation - (New York, New York, United States), 1983
Contact
first name
- Roger
has last name
- Howe
mailing address
-
Texas A&M University
Teaching, Learning And Culture (Tlac)
4232 TAMU
College Station, TX 77843-4232
USA
Other
In the News
- rogerhowe@tamu.edu