Math Home Page

- TBA

- G.W.A.'s list of publications. (Look here for complete journal references.)

- Slides from my talks at Free Probability Concentration Week, Texas A&M, July 21-25, 2014.

- Preprint, "Preservation of algebraicity in free probability," first posted June 25, 2014, this version dated August 14, 2014.

- Article, "A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices," first posted August 21, 2013, and has since appeared in Ann. Inst. Henri Poincar\'e Probab. Stat. in 2015.

- Slides from my talk at the Fields Institute, Toronto, July 2, 2013.

- Preprint, "Asymptotically liberating sequences of random unitary matrices", joint work with Brendan Farrell, first posted February 22, 2013, and has subsequently appeared in Adv. Math. in 2014.

- Slides from my IMA course (June 18-22, 2012).

- Article with the title "Convergence of the largest singular value of a polynomial in independent Wigner matrices". The preprint for this was first posted on March 24, 2011. The version posted here now is the version published in the Annals of Probability in 2013.

- Preprint with the title "Multizeta values for \FF_q[t], their period interpretation and relations between them", joint work with Dinesh Thakur. This was published in International Mathematics Research Notices in 2009.

- Article, joint work with Ofer Zeitouni, with the title "A law of large numbers for finite-range dependent random matrices", originally posted September 14, 2006. In the form now posted here the paper has been published in Communications in Pure and Applied Mathematics.

- Article, joint work with Ofer Zeitouni, with the title "A CLT for regularized sample covariance matrices", originally posted December 25, 2006. In the form now posted here the paper has been published in the Annals of Statistics.

- Article with the title "Digit patterns and the formal additive group", originally posted on October 9, 2005 under the title "Digit patterns and Coleman power series", and posted in final form on April 3, 2006. The paper in its revised, retitled and shortened form appeared the Israel Journal of Mathematics in 2007.

- "Interpolation of hypergeometric ratios in a global field of positive characteristic", originally posted on June 19, 2006, and in its current and final form posted on June 26, 2006. The paper has been published in Annales de l'Institut Fourier.

- "Interpolation of numbers of Catalan type in a local field of positive characteristic", initially posted on January 15, 2006, and reposted April 4, 2006 in final form. The paper has been published in Crelle.

- "A two-variable refinement of the Stark conjecture in the function field case."
This paper was first posted here on July 25, 2004.
The paper been published in Compositio.
The final draft is posted on this page.
The paper gives all details concerning talks the author has given at
Y. Ihara's 60th birthday conference in June 1998 in Tokyo,
at the University of Salamanca in May 2002, at the Chinese Academy of Sciences (Morningside
Center) in May 2004, and at W. D. Brownawell's 60th birthday conference in June 2004
in Waterloo, Ontario.
- .ps.

- "A CLT for a band matrix model". This paper is joint work with Ofer Zeitouni.
It was originally posted here on June 16, 2004.
The paper was posted here in final form on December 1, 2004.
The paper has been published in PTRF.
- .ps.

- "A generalization of Weyl's identity for D_n." This paper has been published in Advances in Applied Mathematics. It was posted here in final form on January 22, 2004.

- "Determination of the algebraic relations among special Gamma-values in positive characteristic". This paper is joint work with Dale Brownawell and Matt Papanikolas. The paper has been published in the Annals of Mathematics. The final page proofs for the article are posted here.

- "Simple proofs of classical explicit reciprocity laws on curves using determinant groupoids over an artinian local ring". This paper is joint work with Fernando Pablos Romo of the University of Salamanca. It was posted here in final form on April 3, 2003 and has been published in Communications in Algebra in 2004.

- "Integral Ka\v{s}in splittings". This paper was published in the Israel Journal of Mathematics in 2003. It was posted here in final form on February 3, 2003.

- "Lacunary Wronskians on genus one curves." This paper was first posted on December 24, 2002. The version here now was posted on September 18, 2004. The paper has been published in the Journal of Number Theory.

- "A pinching estimate for solutions of the linearized Ricci flow system on 3-manifolds". This paper is joint work with Ben Chow. The paper has been published in Calculus of Variations and Partial Differential Equations. It was posted here in final form on March 18, 2003.

- "Edited 4-Theta embeddings of Jacobians". This paper was published in the Michigan Mathematical Journal in 2004. It was posted here in final form on April 3, 2003.

- "A note on cyclotomic Euler systems and the double complex method". This paper is joint work with Yi Ouyang. It was published in the Canadian Journal of Mathematics in 2003.

- "Abeliants and their application to an elementary construction of Jacobians". This paper was published in Advances in Mathematics in 2002.

- "Kronecker-Weber plus epsilon". This paper was published in the Duke Mathematical Journal in 2002.

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