Rebecca Goldin

Mathematics Articles in Refereed Journals

Torsion in the full orbifold K-theory of abelian symplectic quotients. Rebecca Goldin, Megumi Harada, Tara S. HolmGeometriae Dedicata. 157, iss. 1(2012), 187-204. [pdf]

Erratum: In the discussion preceding Theorem 6.2, we assert that the Bruhat cells on the flag variety give equivariant Darboux charts near a fixed point of the flag variety. This is false. In Example 6.4 we use this erroneous assertion to justify a calculation of the orbifold K-theory of a symplectic quotient of a flag variety of type B_3. Our calculation is still valid provided that the level set is chosen to be close enough to the fixed point. In addition, [Prop 2.8, Karshon-Tolman "Gromov width..." [ArXiv:]] provides an equivariant Darboux chart which contains the level set as drawn in Figure 6.2.

The Full Orbifold K-theory of Abelian Symplectic Quotients. Rebecca Goldin, Megumi Harada, Tara S. Holm, Takashi Kimura. Journal of K-theory 8 (2011), iss. 02, 339--362 [pdf]

Toward a Semantic General Theory of Everything. Alexei Samsonovich, Rebecca Goldin, and Giorgio Ascoli. Complexity 15 (2010), no. 4, 12--18. [pdf]

Towards Generalizing Schubert Calculus in the Symplectic Category. R. F. Goldin, S. Tolman. Journal of Symplectic Geometry 7 (2009), 449-473.[pdf]

Weighted hyperprojective spaces and homotopy invariance in orbifold cohomology. Rebecca F. Goldin. Toric topology, 99--110, Contemp. Math., 460, Amer. Math. Soc., Providence, RI, 2008. [pdf]

Orbifold cohomology of hypertoric varieties. Rebecca Goldin, Megumi Harada. Internat. J. Math. 19 (2008), no. 8, 927--956.[pdf]

Orbifold cohomology of torus quotients. Rebecca Goldin, Tara S. Holm, Allen Knutson. Duke Math. J. 139 (2007), no. 1, 89--139.[pdf]

Cohomology pairings on the symplectic reduction of products. R. F. Goldin, S. Martin. Canad. J. Math. 58 (2006), no. 2, 362--380.[pdf]

Cohomology of symplectic reductions of generic coadjoint orbits. R. F. Goldin, A. -L. Mare. Proc. Amer. Math. Soc. 132 (2004), no. 10, 3069--3074.[pdf]

Real loci of symplectic reductions. R. F. Goldin, T. S. Holm. Trans. Amer. Math. Soc. 356 (2004), no. 11, 4623--4642.[pdf]

Distinguishing the Chambers of the Moment Polytope. Rebecca F. Goldin, Tara S. Holm, Lisa C. Jeffrey. Journal of Symplectic Geometry, 2 (2003), no. 1, pp. 109-131.[pdf]

An effective algorithm for the cohomology ring of symplectic reductions. R. F. Goldin. Geom. Func. Anal., 12 (2002) 567-583.[pdf]

The cohomology ring of weight varieties and polygon spaces. R. F. Goldin. Advances in Mathematics 160 (2001), no. 2, pp. 175-204.[pdf]

The equivariant cohomology of Hamiltonian G-spaces From Residual S1 Actions. Rebecca Goldin, Tara S. Holm. Math. Res. Let. 8 (2001), no. 1-2, pp. 67-77. [pdf]

Resolving singularities of plane analytic branches with one toric morphism. R. F. Goldin and B. Teissier, Resolultion of Singularities, Progress in Mathematics 181 (2000), pp. 315-340. [pdf]

Counting dendritic spines: a somatocentric approach. G. Ascoli and R. F. Goldin. Complexity 2 (1997), no. 4, pp. 40-48. [pdf]

Peer Reviewed Publications in Statistics, Education, and Communication

Statistical models: theory and practice. [Book Review]. Amer. Math. Monthly 117 (2010), no. 9, 844–847.

Doting on data. Book review of Super crunchers: why thinking-by-numbers is the new way to be smart. Rebecca Goldin. Notices Amer. Math. Soc. 56 (2009), no. 4, 483--487.

Menopause Research: a Report on Select Literature. Scientific Report prepared for the Hormone Foundation (2009), reviewed by three MDs. On the Hormone Foundation website (5,000 words).

Frequently Asked Questions (about Hormone Replacement Therapy). (2009) On the Hormone Foundation website.

Other Publications including Conference Proceedings

Over 100 articles posted online at

Neuronal Classification from Network Connectivity. Poster and Abstract at the International Brain Research Organization Conference, (2011). Florence, Italy.

The American Media’s Gap in Quantitative Reasoning, Proceedings of the 8th International Conference on the Teaching of Statistics (2010).

Spinning Heads and Spinning News: How a Lack of Statistical Proficiency Affects Media Coverage, by R. Goldin., Proceedings of the Joint Statistical Meetings (2009), Section on Statistical Learning.

Semantic cognitive mapping of natural language, by A. V. Samsonovich, G. A. Ascoli, and R. F. Goldin. In B. C. Love, K. McRae, & V. M. Sloutsky (Eds.), Proceedings of the 30th Annual Conference of the Cognitive Science Society, p. 1335. Austin, TX: Cognitive Science Society, 2008.

The Use and Abuse of Statistics in the Media, by R. Goldin. AWM Newsletter, October, 2008.

College Rankings: F, Chronicle of Higher Education, Nov. 3, 2006.

How Summers Offended, with G. Goldin and A. Foulkes. Published in the Washington Post op-ed section, February 21, 2005.

Kids and Sleeping Pills: Assessing the Media Coverage in the 2005 Medco Report, with Grace Harris. To appear in Writing and Reading Across the Curriculum (10th Edition), by Laurence Behrens and Leonard Rosen, January 2007.

Kirwan surjectivity for preorbifold cohomology, with T. Holm and A. Knutson. Cohomological Aspects of Hamiltonian Group Actions, Mathematisches Forschungsinstitut Oberwolfach, Report no. 20 (2004) 36-39.

Writing about mathematics. Writing Across the Curriculum Newsletter, Volume VII, Issue II (2004).

"The cohomology ring of weight varieties." Rebecca Goldin. Ph.D. Thesis, MIT (1999). [pdf], [ps]