College of Liberal Arts and Sciences

Research Output

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2004

On varieties of groups in which all periodic groups are abelian

Ivanov, S. V. & Storozhev, A. M., 2004, Group theory, statistics, and cryptography. Amer. Math. Soc., Providence, RI, Vol. 360. p. 55-62 8 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The arithmetic of Weierstrass points on modular curves X0 (p)

Ahlgren, S., 2004, Galois theory and modular forms. Kluwer Acad. Publ., Boston, MA, Vol. 11. p. 3-12 10 p. (Dev. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2003

A gentle introduction to points of finite type on real hypersurfaces

D'Angelo, J. P., 2003, Explorations in complex and Riemannian geometry. Amer. Math. Soc., Providence, RI, Vol. 332. p. 19-36 18 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Geodesic flows and contact toric manifolds

Lerman, E., 2003, Symplectic geometry of integrable Hamiltonian systems (Barcelona, 2001). Birkhäuser Verlag, Basel, p. 175-225 51 p. (Adv. Courses Math. CRM Barcelona).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

On HNN-extensions in the class of groups of large odd exponent

Ivanov, S. V., 2003, Groups, rings, Lie and Hopf algebras (St. John's, NF, 2001). Kluwer Acad. Publ., Dordrecht, Vol. 555. p. 39-53 15 p. (Math. Appl.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Potential theory in Carnot groups

Balogh, Z. M. & Tyson, J. T., 2003, Harmonic analysis at Mount Holyoke (South Hadley, MA, 2001). Amer. Math. Soc., Providence, RI, Vol. 320. p. 15-27 13 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Projective embeddings of varieties of special lattices

Haboush, W. J., 2003, Combinatorial and geometric representation theory (Seoul, 2001). Amer. Math. Soc., Providence, RI, Vol. 325. p. 77-91 15 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

RNC workshop quasiconformal maps on metric spaces: questions and conjectures

Tyson, J. T., 2003, Future trends in geometric function theory. Univ. Jyväskylä, Jyväskylä, Vol. 92. p. 249-262 14 p. (Rep. Univ. Jyväskylä Dep. Math. Stat.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Sharp error term in the Nevanlinna theory

Hinkkanen, A., 2003, Complex differential and functional equations (Mekrijärvi, 2000). Univ. Joensuu, Joensuu, Vol. 5. p. 51-79 29 p. (Univ. Joensuu Dept. Math. Rep. Ser.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Stochastic averaging near homoclinic orbits via singular perturbations

Sowers, R. B., 2003, IUTAM Symposium on Nonlinear Stochastic Dynamics. Kluwer Acad. Publ., Dordrecht, Vol. 110. p. 83-94 12 p. (Solid Mech. Appl.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The bilinear multiplier problem for the disc

Grafakos, L. & Li, X., 2003, Harmonic analysis at Mount Holyoke (South Hadley, MA, 2001). Amer. Math. Soc., Providence, RI, Vol. 320. p. 173-193 21 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The theory and practice of simulated annealing

Henderson, D., Jacobson, S. H. & Johnson, A. W., 2003, Handbook of metaheuristics. Kluwer Acad. Publ., Boston, MA, Vol. 57. p. 287-319 33 p. (Internat. Ser. Oper. Res. Management Sci.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2002

Boundaries of hyperbolic groups

Kapovich, I. & Benakli, N., 2002, Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001). Amer. Math. Soc., Providence, R.I., Vol. 296. p. 39-93 55 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Bounds for completely decomposable Jacobians

Duursma, I. & Enjalbert, J-Y., 2002, Finite fields with applications to coding theory, cryptography and related areas (Oaxaca, 2001). Springer Berlin, p. 86-93 8 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Chebyshev's conjecture and the prime number race

Ford, K. & Konyagin, S., 2002, IV International Conference ``Modern Problems of Number Theory and its Applications'': Current Problems, Part II (Russian) (Tula, 2001). Mosk. Gos. Univ. im. Lomonosova, Mekh.-Mat. Fak., Moscow, p. 67-91 25 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Descriptive set theory in topology

Solecki, S. A., 2002, Recent progress in general topology, II. North-Holland, Amsterdam, p. 485-514 30 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

How to Save ‘Tintern Abbey’ from New-Critical Pedagogy (in Three Minutes Fifty-Six Seconds)

Underwood, W. E., Feb 2002, Romanticism & Contemporary Culture. Mandell, L. & Eberle-Sinatra, M. (eds.). University of Maryland: Romantic Circles, (Praxis Series).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

O-minimal preparation theorems

van den Dries, L. & Speissegger, P., 2002, Model theory and applications. Aracne, Rome, Vol. 11. p. 87-116 30 p. (Quad. Mat.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Ramanujan's contributions to Eisenstein series, especially in his lost notebook

Berndt, B. C. & Yee, A. J., 2002, Number theoretic methods (Iizuka, 2001). Kluwer Acad. Publ., Dordrecht, Vol. 8. p. 31-53 23 p. (Dev. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Recent progress on the estimation of Weyl sums

Ford, K., 2002, IV International Conference ``Modern Problems of Number Theory and its Applications'': Current Problems, Part II (Russian) (Tula, 2001). Mosk. Gos. Univ. im. Lomonosova, Mekh.-Mat. Fak., Moscow, p. 48-66 19 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The influence of Carr's synopsis on Ramanujan

Berndt, B. C., 2002, Number theory and discrete mathematics (Chandigarh, 2000). Birkhäuser/Springer Basel AG, Basel, p. 31-35 5 p. (Trends Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The problems solved by Ramanujan in the Journal of the Indian Mathematical Society

Berndt, B. C., 2002, Number theory and discrete mathematics (Chandigarh, 2000). Birkhäuser/Springer Basel AG, Basel, p. 189-200 12 p. (Trends Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Versal deformations and superpotentials for rational curves in smooth threefolds

Katz, S., 2002, Symposium in Honor of C. H. Clemens (Salt Lake City, UT, 2000). Amer. Math. Soc., Providence, RI, Vol. 312. p. 129-136 8 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Weakly finitely presented infinite periodic groups

Ivanov, S. V., 2002, Combinatorial and geometric group theory (New York, 2000/Hoboken, NJ, 2001). Amer. Math. Soc., Providence, RI, Vol. 296. p. 139-154 16 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Zero-free regions for the Riemann zeta function

Ford, K., 2002, Number theory for the millennium, II (Urbana, IL, 2000). A K Peters, Natick, MA, p. 25-56 32 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2001

A martingale proof of the theorem by Jessen, Marcinkiewicz and Zygmund on strong differentiation of integrals

Kuchta, M. G., Morayne, M. & Solecki, S. A., 2001, Séminaire de Probabilités, XXXV. Springer Berlin, Vol. 1755. p. 158-161 4 p. (Lecture Notes in Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

An overview of Ramanujan's notebooks [ MR1672414 (99k:01032)]

Berndt, B. C., 2001, Ramanujan: essays and surveys. Amer. Math. Soc., Providence, RI, Vol. 22. p. 143-164 22 p. (Hist. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

A renormalized Riemann-Roch formula and the Thom isomorphism for the free loop space

Ando, M. & Morava, J., 2001, Topology, geometry, and algebra: interactions and new directions (Stanford, CA, 1999). Amer. Math. Soc., Providence, RI, Vol. 279. p. 11-36 26 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

A Riemann hypothesis analogue for self-dual codes

Duursma, I., 2001, Codes and association schemes (Piscataway, NJ, 1999). Amer. Math. Soc., Providence, RI, Vol. 56. p. 115-124 10 p. (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

A short biography of S. Narayana Iyer

Berndt, B. C., 2001, Ramanujan: essays and surveys. Amer. Math. Soc., Providence, RI, Vol. 22. p. 97-98 2 p. (Hist. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Congruences and conjectures for the partition function

Ahlgren, S. & Ono, K., 2001, $q$-series with applications to combinatorics, number theory, and physics (Urbana, IL, 2000). Amer. Math. Soc., Providence, RI, Vol. 291. p. 1-10 10 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Dual calculus for functors to spectra

McCarthy, R., 2001, Homotopy methods in algebraic topology (Boulder, CO, 1999). Amer. Math. Soc., Providence, RI, Vol. 271. p. 183-215 33 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric series, elliptic functions, and q's

Berndt, B. C., 2001, Special functions 2000: current perspective and future directions (Tempe, AZ). Kluwer Acad. Publ., Dordrecht, Vol. 30. p. 61-85 25 p. (NATO Sci. Ser. II Math. Phys. Chem.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Gaussian hypergeometric series and combinatorial congruences

Ahlgren, S., 2001, Symbolic computation, number theory, special functions, physics and combinatorics (Gainesville, FL, 1999). Kluwer Acad. Publ., Dordrecht, Vol. 4. p. 1-12 12 p. (Dev. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

John Dryden, Amphitryon

Markley, R. (ed.) & Dalporto, J. (ed.), May 31 2001, The Broadview Anthology of Restoration and Early Eighteenth-Century Drama. Canfield, J. D. & von Sneidern, M-L. (eds.). Broadview Press, p. 1735-1781

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Matrix model combinatorics: applications to folding and coloring

Di Francesco, P., 2001, Random matrix models and their applications. Cambridge Univ. Press, Cambridge, Vol. 40. p. 111-170 60 p. (Math. Sci. Res. Inst. Publ.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

On some uniform geometric properties in function spaces

Dilworth, S. J., Kutzarova, D. & Troyanski, S. L., 2001, General topology in Banach spaces. Nova Sci. Publ., Huntington, NY, p. 127-135 9 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

On Stokes sets

Baryshnikov, Y., 2001, New developments in singularity theory (Cambridge, 2000). Kluwer Acad. Publ., Dordrecht, Vol. 21. p. 65-86 22 p. (NATO Sci. Ser. II Math. Phys. Chem.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

On the conformal Martin boundary of domains in metric spaces

Holopainen, I., Shanmugalingam, N. & Tyson, J. T., 2001, Papers on analysis. Univ. Jyväskylä, Jyväskylä, Vol. 83. p. 147-168 22 p. (Rep. Univ. Jyväskylä Dep. Math. Stat.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

On the transformation formula for the Dedekind eta-function

Berndt, B. C. & Venkatachaliengar, K., 2001, Symbolic computation, number theory, special functions, physics and combinatorics (Gainesville, FL, 1999). Kluwer Acad. Publ., Dordrecht, Vol. 4. p. 73-77 5 p. (Dev. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Perturbed minimization principles and applications

Deville, R. & Ghoussoub, N., 2001, Handbook of the geometry of Banach spaces, Vol. I. North-Holland, Amsterdam, p. 393-435 43 p.

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Positivity conditions for real-analytic functions

D'Angelo, J. P., 2001, Complex analysis and geometry (Columbus, OH, 1999). de Gruyter, Berlin, Vol. 9. p. 103-123 21 p. (Ohio State Univ. Math. Res. Inst. Publ.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

S. Janaki Ammal (Mrs. Ramanujan)

Berndt, B. C., 2001, Ramanujan: essays and surveys. Amer. Math. Soc., Providence, RI, Vol. 22. p. 83-87 5 p. (Hist. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Solutions of a modified fifth Painlevé equation are meromorphic

Hinkkanen, A. & Laine, I., 2001, Papers on analysis. Univ. Jyväskylä, Jyväskylä, Vol. 83. p. 133-146 14 p. (Rep. Univ. Jyväskylä Dep. Math. Stat.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The books studied by Ramanujan in India [ MR1786233 (2002b:01036)]

Berndt, B. C. & Rankin, R. A., 2001, Ramanujan: essays and surveys. Amer. Math. Soc., Providence, RI, Vol. 22. p. 9-15 7 p. (Hist. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The four photographs of Ramanujan

Berndt, B. C., 2001, Ramanujan: essays and surveys. Amer. Math. Soc., Providence, RI, Vol. 22. p. 3-8 6 p. (Hist. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society [ MR1665361 (2000i:11003)]

Berndt, B. C., Choi, Y-S. & Kang, S-Y., 2001, Ramanujan: essays and surveys. Amer. Math. Soc., Providence, RI, Vol. 22. p. 215-258 44 p. (Hist. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Virtual fundamental classes of zero loci

Cox, D. A., Katz, S. & Lee, Y-P., 2001, Advances in algebraic geometry motivated by physics (Lowell, MA, 2000). Amer. Math. Soc., Providence, RI, Vol. 276. p. 157-166 10 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

π related developments since 1988

Berndt, B. C., 2001, Ramanujan: essays and surveys. Amer. Math. Soc., Providence, RI, Vol. 22. p. 201 1 p. (Hist. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

2000

An intermediate value property for first-order differential polynomials

van den Dries, L., 2000, Connections between model theory and algebraic and analytic geometry. Dept. Math., Seconda Univ. Napoli, Caserta, Vol. 6. p. 95-105 11 p. (Quad. Mat.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution