College of Liberal Arts and Sciences

Research Output

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2000

A remark on finitely generated subgroups of free groups

Ivanov, S. V. & Schupp, P. E., 2000, Algorithmic problems in groups and semigroups (Lincoln, NE, 1998). Birkhäuser Boston, Boston, MA, p. 139-142 4 p. (Trends Math.).

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

Classical model theory of fields

van den Dries, L., 2000, Model theory, algebra, and geometry. Cambridge Univ. Press, Cambridge, Vol. 39. p. 37-52 16 p. (Math. Sci. Res. Inst. Publ.).

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

Efficient algorithms for the Jacobian variety of hyperelliptic curves $y^2=x^p-x+1$ over a finite field of odd characteristic $p$

Duursma, I. & Sakurai, K., 2000, Coding theory, cryptography and related areas (Guanajuato, 1998). Springer Berlin, p. 73-89 17 p.

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

Exact asymptotics of meander numbers

Di Francesco, P., 2000, Formal power series and algebraic combinatorics (Moscow, 2000). Springer Berlin, p. 3-14 12 p.

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

Extremal problems on $-systems

Kostochka, A. V., 2000, Numbers, information and complexity (Bielefeld, 1998). Kluwer Acad. Publ., Boston, MA, p. 143-150 8 p.

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

Incomplete elliptic integrals in Ramanujan's lost notebook

Berndt, B. C., Chan, H. H. & Huang, S-S., 2000, $q$-series from a contemporary perspective (South Hadley, MA, 1998). Amer. Math. Soc., Providence, RI, Vol. 254. p. 79-126 48 p. (Contemp. Math.).

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

Modular equations in Ramanujan's lost notebook

Berndt, B. C., 2000, Number theory. Birkhäuser/Springer Basel AG, Basel, p. 55-74 20 p. (Trends Math.).

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

Positivity conditions and squared norms of holomorphic polynomial mappings

D'Angelo, J. P., 2000, Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis (Philadelphia, PA, 1998). Amer. Math. Soc., Providence, RI, Vol. 251. p. 163-172 10 p. (Contemp. Math.).

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

Ramanujan's short unpublished manuscript on integrals and series related to Euler's constant

Berndt, B. C. & Bowman, D. C., 2000, Constructive, experimental, and nonlinear analysis (Limoges, 1999). CRC Press, Boca Raton, FL, Vol. 27. p. 19-27 9 p. (CRC Math. Model. Ser.).

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

Stochastic averaging on graphs: noisy Duffing-van der Pol equation

Namachchivaya, N. S., Sowers, R. & Vedula, L., 2000, Stochastic and chaotic dynamics in The Lakes (Ambleside, 1999). Amer. Inst. Phys., Melville, NY, Vol. 502. p. 254-265 12 p. (AIP Conf. Proc.).

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

The meander determinant and its generalizations

Di Francesco, P., 2000, Calogero-Moser-Sutherland models (Montréal, QC, 1997). Springer New York LLC, p. 127-144 18 p. (CRM Ser. Math. Phys.).

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

Vector-valued perturbed minimization principles

Deville, R. & Finet, C., 2000, Constructive, experimental, and nonlinear analysis (Limoges, 1999). CRC Press, Boca Raton, FL, Vol. 27. p. 45-51 7 p. (CRC Math. Model. Ser.).

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

1999

$2$-D quantum and topological gravities, matrix models, and integrable differential systems

Di Francesco, P., 1999, The Painlevé property. Springer New York LLC, p. 229-285 57 p. (CRM Ser. Math. Phys.).

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

Contravariant connections on Poisson manifolds

Loja Fernandes, R., 1999, Summer School on Differential Geometry (Coimbra, 1999). Univ. Coimbra, Coimbra, p. 99-108 10 p.

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

Equations $F(x,y,=0$

Ahlgren, S., 1999, Topics in number theory (University Park, PA, 1997). Kluwer Acad. Publ., Dordrecht, Vol. 467. p. 85-100 16 p. (Math. Appl.).

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

Excess in colour-critical graphs

Kostochka, A. V. & Stiebitz, M., 1999, Graph theory and combinatorial biology (Balatonlelle, 1996). János Bolyai Math. Soc., Budapest, Vol. 7. p. 87-99 13 p. (Bolyai Soc. Math. Stud.).

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

Fragments by Ramanujan on Lambert series

Berndt, B. C., 1999, Number theory and its applications (Kyoto, 1997). Kluwer Acad. Publ., Dordrecht, Vol. 2. p. 35-49 15 p. (Dev. Math.).

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

Holomorphic factorization of matrices of polynomials

D'Angelo, J. P., 1999, Reproducing kernels and their applications (Newark, DE, 1997). Kluwer Acad. Publ., Dordrecht, Vol. 3. p. 9-19 11 p. (Int. Soc. Anal. Appl. Comput.).

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

Intergenerational choice: a paradox and a solution

Baryshnikov, Y. & Chichilnisky, G., 1999, Topology and markets (Waterloo, ON, 1994). Amer. Math. Soc., Providence, RI, Vol. 22. p. 99-110 12 p. (Fields Inst. Commun.).

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

L. J. Lange on his 70th birthday

Berndt, B. C. & Gesztesy, F., 1999, Continued fractions: from analytic number theory to constructive approximation (Columbia, MO, 1998). Amer. Math. Soc., Providence, RI, Vol. 236. p. xi-xv (Contemp. Math.).

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

Notes on Ramanujan's singular moduli

Berndt, B. C. & Chan, H. H., 1999, Number theory (Ottawa, ON, 1996). Amer. Math. Soc., Providence, RI, Vol. 19. p. 7-16 10 p. (CRM Proc. Lecture Notes).

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

o-minimal structures and real analytic geometry

van den Dries, L., 1999, Current developments in mathematics, 1998 (Cambridge, MA). Int. Press, Somerville, MA, p. 105-152 48 p.

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

On the cohomology rings of Hamiltonian $T$-spaces

Tolman, S. & Weitsman, J., 1999, Northern California Symplectic Geometry Seminar. Amer. Math. Soc., Providence, RI, Vol. 196. p. 251-258 8 p. (Amer. Math. Soc. Transl. Ser. 2).

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

On the minimum number of edges giving maximum oriented chromatic number

Kostochka, A. V., L uczak, T., Simonyi, G. & Sopena, E., 1999, Contemporary trends in discrete mathematics (v Stiv ri n Castle, 1997). Amer. Math. Soc., Providence, RI, Vol. 49. p. 179-182 4 p. (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.).

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

On two conjectures of Sierpiski concerning the arithmetic functions $ and $

Ford, K. & Konyagin, S., 1999, Number theory in progress, Vol. 2 (Zakopane-Kocielisko, 1997). de Gruyter, Berlin, p. 795-803 9 p.

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

Periodic orbits in magnetic fields in dimensions greater than two

Ginzburg, V. L. & Kerman, E., 1999, Geometry and topology in dynamics (Winston-Salem, NC, 1998/San Antonio, TX, 1999). Amer. Math. Soc., Providence, RI, Vol. 246. p. 113-121 9 p. (Contemp. Math.).

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

Polish group topologies

Solecki, S. A., 1999, Sets and proofs (Leeds, 1997). Cambridge Univ. Press, Cambridge, Vol. 258. p. 339-364 26 p. (London Math. Soc. Lecture Note Ser.).

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

Residue classes free of values of Euler's function

Ford, K., Konyagin, S. & Pomerance, C., 1999, Number theory in progress, Vol. 2 (Zakopane-Kocielisko, 1997). de Gruyter, Berlin, p. 805-812 8 p.

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

Smooth variational principles and non-smooth analysis in Banach spaces

Deville, R., 1999, Nonlinear analysis, differential equations and control (Montreal, QC, 1998). Kluwer Acad. Publ., Dordrecht, Vol. 528. p. 369-405 37 p. (NATO Sci. Ser. C Math. Phys. Sci.).

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

Some combinatorial optimization problems in phylogenetics

Warnow, T., 1999, Graph theory and combinatorial biology (Balatonlelle, 1996). János Bolyai Math. Soc., Budapest, Vol. 7. p. 363-413 51 p. (Bolyai Soc. Math. Stud.).

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

Subelliptic estimates and finite type

D'Angelo, J. P. & Kohn, J. J., 1999, Several complex variables (Berkeley, CA, 1995--1996). Cambridge Univ. Press, Cambridge, Vol. 37. p. 199-232 34 p. (Math. Sci. Res. Inst. Publ.).

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

The normal behavior of the Smarandache function

Ford, K., 1999, Smarandache notions, Vol. 10. Am. Res. Press (ARP), Rehoboth, NM, Vol. 10. p. 81-86 6 p. (Smarandache Notions (Book Ser.)).

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

Truncated meanders

Di Francesco, P., 1999, Recent developments in quantum affine algebras and related topics (Raleigh, NC, 1998). Amer. Math. Soc., Providence, RI, Vol. 248. p. 135-162 28 p. (Contemp. Math.).

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

1998

$scr Oscr L_p$ spaces

Effros, E. G. & Ruan, Z-J., 1998, Operator algebras and operator theory (Shanghai, 1997). Amer. Math. Soc., Providence, RI, Vol. 228. p. 51-77 27 p. (Contemp. Math.).

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

Analytic discs and the extendibility of CR functions

Tumanov, A., 1998, Integral geometry, Radon transforms and complex analysis (Venice, 1996). Springer Berlin, Vol. 1684. p. 123-141 19 p. (Lecture Notes in Math.).

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

Hamiltonian dynamics of the Lotka-Volterra equations

Fernandes, R. L. & Oliva, W. M., 1998, International Conference on Differential Equations (Lisboa, 1995). World Sci. Publ., River Edge, NJ, p. 327-334 8 p.

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

Notes on the Hopkins-Miller theorem

Rezk, C., 1998, Homotopy theory via algebraic geometry and group representations (Evanston, IL, 1997). Amer. Math. Soc., Providence, RI, Vol. 220. p. 313-366 54 p. (Contemp. Math.).

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

1997

A chain complex for the spectrum homology of the algebraic $K$-theory of an exact category

McCarthy, R., 1997, Algebraic $K$-theory (Toronto, ON, 1996). Amer. Math. Soc., Providence, RI, Vol. 16. p. 199-220 22 p. (Fields Inst. Commun.).

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

A new look at the vortex equations and dimensional reduction

Bradlow, S., Glazebrook, J. & Kamber, F., 1997, Geometry, topology and physics (Campinas, 1996). de Gruyter, Berlin, p. 83-106 24 p.

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

A note on full free product $C^*$-algebras, lifting and quasidiagonality

Boca, F. P., 1997, Operator theory, operator algebras and related topics (Timisoara, 1996). Theta Found., Bucharest, p. 51-63 13 p.

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

Doublement absentes, doublement visibles: ou 2 ou 3 choses que l’on sait/dit d’elles (à propos du sida, du sexe et de l’identitaire)

Translated title of the contribution: Double In/visibility: Or 2 or 3 Things that One Knows/Says about Her. On AIDS, Sex, and IdentityNadeau, C., Nov 1997, Refigured Histories/Remembered Pasts: Exhibition Catalog. Lee, R. (ed.). Montreal: Saidye Bronfman Center, p. 9-11; 32-33

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

Inequalities for the first eigenvalues of the clamped plate and buckling problems

Ashbaugh, M. S., Benguria, R. D. & Laugesen, R. S., 1997, General inequalities, 7 (Oberwolfach, 1995). Birkhäuser Verlag, Basel, Vol. 123. p. 95-110 16 p. (Internat. Ser. Numer. Math.).

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

Inferring evolutionary trees from polymorphic characters, and an analysis of the Indo-European family of languages

Bonet, M., Phillips, C., Warnow, T. & Yooseph, S., 1997, Mathematical hierarchies and biology (Piscataway, NJ, 1996). Amer. Math. Soc., Providence, RI, Vol. 37. p. 43-55 13 p. (DIMACS Ser. Discrete Math. Theoret. Comput. Sci.).

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

Mirror symmetry constructions: a review

Berglund, P. & Katz, S., 1997, Mirror symmetry, II. Amer. Math. Soc., Providence, RI, Vol. 1. p. 87-113 27 p. (AMS/IP Stud. Adv. Math.).

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

Mirror symmetry for two parameter models. I [ MR1274436 (95k:32020)]

Candelas, P., de la Ossa, X., Font, A. A., Katz, S. & Morrison, D. R., 1997, Mirror symmetry, II. Amer. Math. Soc., Providence, RI, Vol. 1. p. 483-543 61 p. (AMS/IP Stud. Adv. Math.).

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

Non-abelian monopoles and vortices

Bradlow, S. B. & Garci a-Prada, O., 1997, Geometry and physics (Aarhus, 1995). Dekker, New York, Vol. 184. p. 567-589 23 p. (Lecture Notes in Pure and Appl. Math.).

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

Propagation of extendibility of CR functions on manifolds with edges

Tumanov, A., 1997, Multidimensional complex analysis and partial differential equations (São Carlos, 1995). Amer. Math. Soc., Providence, RI, Vol. 205. p. 259-269 11 p. (Contemp. Math.).

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

Ramanujan's class invariants with applications to the values of $q$-continued fractions and theta functions

Berndt, B. C., Chan, H. H. & Zhang, L-C., 1997, Special functions, $q$-series and related topics (Toronto, ON, 1995). Amer. Math. Soc., Providence, RI, Vol. 14. p. 37-53 17 p. (Fields Inst. Commun.).

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

Schur products of certain polynomials

Hinkkanen, A., 1997, Lipa's legacy (New York, 1995). Amer. Math. Soc., Providence, RI, Vol. 211. p. 285-295 11 p. (Contemp. Math.).

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

Splitting properties of operator bimodules and operator amenability of Kac algebras

Ruan, Z-J. & Xu, G., 1997, Operator theory, operator algebras and related topics (Timisoara, 1996). Theta Found., Bucharest, p. 193-216 24 p.

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