HR job title
- Retired Professor
- Contact Info
- 1 979 845 3969
Tretkoff, Paula Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
- Overview
- Publications
- Teaching
- Background
- Contact
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Overview
Publications
selected publications
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academic article
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Tretkoff, P.
(2018).
Transcendence of Zeros of Automorphic Forms For Cuspidal Triangle Groups
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Gaboriau, D., & Tucker-Drob, R.
(2016).
Approximations of standard equivalence relations and Bernoulli percolation at pu. Comptes Rendus Mathematique (Academie des Sciences).
354(11), 1114-1118.
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Seward, B., & Tucker-Drob, R. D.
(2016).
Borel structurability on the 2-shift of a countable group. Annals of Pure and Applied Logic.
167(1), 1-21.
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Ioana, A., & Tucker-Drob, R.
(2016).
Weak containment rigidity for distal actions. Advances in Mathematics.
302, 309-322.
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Tretkoff, P.
(2015).
Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds. Journal of Number Theory.
152, 118-155.
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Tretkoff, P., & Tretkoff, M. D.
(2013).
A Transcendence Criterion for CM on Some Families of CalabiYau Manifolds. Developments in Mathematics.
28, 475-490.
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Tretkoff, M. D., & Tretkoff, P.
(2009).
TRANSCENDENCE OF SPECIAL VALUES OF POCHHAMMER FUNCTIONS. International Journal of Number Theory.
5(4), 667-677.
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Connes, A., & Tretkoff, P.
(2009).
The Gauss-Bonnet Theorem for the noncommutative two torus
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Desrousseaux, P., Tretkoff, M. D., & Tretkoff, P.
(2008).
Zariski-density of exceptional sets for hypergeometric functions. Forum Mathematicum.
20(2), 187-199.
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Desrousseaux, P. A., Tretkoff, M. D., & Tretkoff, P.
(2005).
Transcendence of values at algebraic points for certain higher-order hypergeometric functions. International mathematics research notices.
2005(61), 3835-3854.
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Cohen, P. B.
(2005).
Hyperbolic equidistribution problems on Siegel 3-folds and Hilbert modular varieties. DUKE MATHEMATICAL JOURNAL.
129(1), 87-127.
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Shiga, H., Tsutsui, T., Wolfart, J., & Cohen, P. B.
(2004).
Triangle fuchsian differential equations with apparent singularities. Osaka Journal of Mathematics.
41(3), 625-658.
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Cohen, P. B.
(2003).
Perspectives de l'Approximation Diophantienne et de la Transcendance. The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu.
7(1-3), 367-384.
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Cohen, P. B., & Van Der Poorten, A. J.
(2002).
Ideal constructions and irrationality measures of roots of algebraic numbers. Illinois Journal of Mathematics.
46(1), 63-80.
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Cohen, P. B., & Zannier, U.
(2002).
Fewnomials and Intersections of Lines with Real Analytic Subgroups in Gmn. Bulletin of the London Mathematical Society.
34(1), 21-32.
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Cohen, P. B., & Regev, A.
(2001).
A Six Generalized Squares Theorem, with Applications to Polynomial Identity Algebras. Journal of Algebra.
239(1), 174-190.
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Cohen, P. B., & Regev, A.
(1999).
Asymptotics of multinomial sums and identities between multi-integrals. Israel Journal of Mathematics.
112(1), 301-325.
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Cohen, P. B.
(1999).
A $C^*$-dynamical system with Dedekind zeta partition function and spontaneous symmetry breaking. Journal de Theorie des Nombres de Bordeaux.
11(1), 15-30.
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COHEN, P. B., & HUDSON, R. L.
(1998).
Generators of quantum stochastic flows and cyclic cohomology. Cambridge Philosophical Society: Mathematical Proceedings.
123(2), 345-363.
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Cohen, P. B.
(1996).
Humbert Surfaces and Transcendence Properties of Automorphic Functions. Rocky Mountain Journal of Mathematics.
26(3), 987-1001.
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Hirzebruch, P.
(1995).
Book Review: Commensurabilities among lattices in P U ( 1 , n ) mathrm {PU}(1,n). BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
32(1), 88-105.
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Beazley Cohen, P., Eyre, T., & Hudson, R. L.
(1995).
Higher order Ito product formula and generators of evolutions and flows. International Journal of Theoretical Physics.
34(8), 1481-1486.
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Cohen, P. B., Itzykson, C., & Wolfart, J.
(1994).
Fuchsian triangle groups and Grothendieck dessins. Variations on a theme of Belyi. Communications in Mathematical Physics.
163(3), 605-627.
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Cohen, P. B., & Wolfart, J.
(1993).
Fonctions hypergomtriques en plusieurs variables et espaces des modules de varits abliennes. Annales Scientifiques de l'Ecole Normale Superieure.
26(6), 665-690.
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Cohen, P. B.
(1992).
ALGEBRAIC APPELL-LAURICELLA FUNCTIONS. Analysis.
12(3-4), 359-376.
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Cohen, P.
(1991).
Heights of Torsion Points on Commutative Group Varieties II. Proceedings of the London Mathematical Society.
s3-62(1), 99-120.
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Cohen, P., & Wolfart, J.
(1990).
Modular embeddings for some non-arithmetic Fuchsian groups. 56(2), 93-110.
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Cohen, P. S., & Regev, A.
(1988).
Asymptotics of Combinatorial Sums and the Central Limit Theorem. SIAM Journal on Mathematical Analysis.
19(5), 1204-1215.
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Cohen, P. S., & Regev, A.
(1988).
On Maximal Degrees for Young Diagrams. European Journal of Combinatorics.
9(6), 607-610.
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Cohen, S. P.
(1986).
Heights of Torsion Points on Commutative Group Varieties. Proceedings of the London Mathematical Society.
s3-52(3), 427-444.
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Cohen, P.
(1984).
On the coefficients of the transformation polynomials for the elliptic modular function. Cambridge Philosophical Society: Mathematical Proceedings.
95(3), 389-402.
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Cohen, P., & Regev, A.
(1982).
Asymptotic estimates of some sn characters and the identities of the 2 2 matrices. Communications in Algebra.
10(1), 71-85.
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Tretkoff, P.
(2018).
Transcendence of Zeros of Automorphic Forms For Cuspidal Triangle Groups
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book
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Tretkoff, P.
(2017).
Periods and Special Functions in Transcendence. Ed. 0.
World Scientific Publishing.
-
Tretkoff, P.
(2016).
Complex Ball Quotients and Line Arrangements in the Projective Plane. Princeton University Press.
-
Tretkoff, P.
(2017).
Periods and Special Functions in Transcendence. Ed. 0.
World Scientific Publishing.
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chapter
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Tretkoff, P.
(2016).
Appendix A. Torsion-Free Subgroups of Finite Index by Hans-Christoph Im Hof. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 189-196).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Appendix B. Kummer Coverings. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 197-204).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Bibliography. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 205-212).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Chapter Five. Line Arrangements in P2(C) and Their Finite Covers. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 85-125).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Chapter Four. Algebraic Surfaces and the Miyaoka-Yau Inequality. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 65-84).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Chapter One. Topological Invariants and Differential Geometry. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 6-22).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Chapter Seven. Appell Hypergeometric Functions. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 167-188).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Chapter Six. Existence of Ball Quotients Covering Line Arrangements. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 126-166).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Chapter Three. Complex Surfaces and Coverings. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 47-64).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Chapter Two. Riemann Surfaces, Coverings, and Hypergeometric Functions. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 23-46).
DE GRUYTER.
-
Tretkoff, P.
(2016).
Introduction. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 1-5).
DE GRUYTER.
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Tretkoff, P.
(2016).
Preface. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. ix-xii).
DE GRUYTER.
-
Cohen, P. B.
(2004).
Interactions between number theory and operator algebras in the study of the Riemann zeta function (daprs Bost-Connes and Connes). Chudnovsky, D., Chudnovsky, G., & Nathanson, M. (Eds.),
Number Theory.
(pp. 87-103).
Springer Nature.
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Bombieri, E., & Cohen, P. B.
(2003).
An elementary approach to effective Diophantine approximation on Gm. Reid, M., & Skorobogatov, A. (Eds.),
Number Theory and Algebraic Geometry.
Cambridge University Press.
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Cohen, P. B.
(2000).
On the Modular Function and Its Importance for Arithmetic. Lecture Notes in Physics.
Planat, M. (Eds.),
Noise, Oscillators and Algebraic Randomness.
(pp. 388-397).
Springer Nature.
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Cohen, P. B., Manin, Y., & Zagier, D.
(1997).
Automorphic Pseudodifferential Operators. Fokas, A. S., & Gelfand, I. M. (Eds.),
Algebraic Aspects of Integrable Systems.
(pp. 17-47).
Springer Nature.
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Cohen, P.
(1990).
On the Non-commutative Torus of Real Dimension Two. Springer Proceedings in Physics.
Luck, J., Moussa, P., & Waldschmidt, M. (Eds.),
Number Theory and Physics.
(pp. 151-156).
Springer Nature.
-
Tretkoff, P.
(2016).
Appendix A. Torsion-Free Subgroups of Finite Index by Hans-Christoph Im Hof. Complex Ball Quotients and Line Arrangements in the Projective Plane.
(pp. 189-196).
DE GRUYTER.
-
conference paper
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Tretkoff, P.
(2015).
K3 surfaces with algebraic period ratios have complex multiplication. International Journal of Number Theory.
1709-1724.
-
Tretkoff, P.
(2015).
K3 surfaces with algebraic period ratios have complex multiplication. International Journal of Number Theory.
1709-1724.
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institutional repository document
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Tretkoff, P.
(2018).
Transcendence of Zeros of Automorphic Forms For Cuspidal Triangle Groups
-
Tretkoff, P.
(2014).
Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds
-
Tretkoff, P.
(2018).
Transcendence of Zeros of Automorphic Forms For Cuspidal Triangle Groups
Teaching
teaching activities
- MATH304 Linear Algebra Instructor
- MATH685 Directed Studies Instructor
Background
education and training
- Ph.D. in Pure Mathematics, University of Nottingham - (Nottingham, Nottingham, United Kingdom) 1985
Contact
first name
- Paula
has last name
- Tretkoff
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- paulatretkoff@tamu.edu