Graduate Students of Patrick Gilmer
Daniel Silver (Yale University 1980):
Professor
University Of South Alabama
Mobile, Alabama
Publications derived from thesis:
- Finding stable-boundaries for open five-dimensional manifolds. Amer. J. Math. 105 (1983), no. 6, 1309--1324
- Embedding $2$-spheres topologically in smooth $4$-manifolds. Houston J. Math. 9 (1983), no. 1, 119--124
Stephen Paris(LSU May 1995)
Coordinator of the Actuarial Science Program at Florida State University in the Mathematics Department.
Publications derived from thesis:
- An extremal property of Rokhlin's inequality for real algebraic curves, Math. Ann. 304 (1996), no. 3, 613--620
- Rokhlin's inequalities for real algebraic curves and an extremal property, Manuscripta Math. 98 (1999), no. 4, 447--452
Basinyi Chimitza/Chimidza (LSU August 1995)
Lecturer
University Of Botswana
Gaborone, Botswana
Publication derived from thesis:
- Modules associated to disconnected surfaces by quantization functors, Topology and its applications, 93 (1999)
no. 1, 41--63
Wayne Stevens (LSU August 1996)
First position: Visiting Assistant Professor,
Southeastern Louisiana University
Hammond, Louisiana
Publications derived from thesis:
- Recursion formulas for some Abelian knot invariants, Jour. Knot Theory and Its Ramifications 9, (2000),413-422
An unpublished paper from thesis:
Jianyuan Zhong (LSU August 2000)
Professor at California State University-Sacramento,
Sacramento, CA.
Publications derived from thesis:
- On the homflypt skein module of S^1 x S^2 ( with P. Gilmer),
Math. Zeit. 237, 769-814 (2001)
John M. Harris (LSU August 2003)
Associate Professor
University of Southern Mississippi-Gulfcoast
Thesis :"The Kauffman bracket skein module of the quaternionic manifold"
Publications derived from thesis:
- On the Kauffman bracket skein module of the quaternionic manifold (with P. Gilmer), J. Knot Theory Ramifications, 16, (2007) 103--125
Khaled Qazaqzeh(LSU August 2006)
Associate Professor
Yarmouk University, Irbid, Jordan
Thesis :"Topics in Quantum Topology"
Publications derived from thesis:
- The parity of the Maslov index and the even cobordism category, (with P Gilmer), Fund. Math. 188 (2005), 95-102
-
Integral Bases for Certain TQFT-Modules of the Torus, Math. Proc. Cambridge Philos. Soc. 143 (2007), no. 3, 669--684.
-
Periodic 3-Manifolds and Modular Categories, J. Knot Theory Ramifications 17 (2008), no. 5, 529--536.
Xuanting
Cai (LSU May 2013)
Google Inc. (May 2013);
Moved to Alibaba, Hangzhou, China (July 2017)
Thesis :"Skein Theory And Topological Quantum Field Theory"
Publications derived from thesis:
- A Gram determinant of Lickorish's bilinear form. Math. Proc. Cambridge Philos. Soc. 151 (2011), no. 1, 83-94.
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Bilinear forms on skein modules and steps in Dyck paths. ( with Toufik Mansour). J. Math. Phys. 52 (2011), no. 7, 073509, 15 pp.
-
On the Turaev-Viro endomorphism and the colored Jones polynomial
(with Patrick Gilmer), Algebraic & Geometric Topology, 13 (2013) 375-408 .
Xuanye Wang (LSU August 2013)
He entered the Ph.D. program in Economics at UT Austin.
Thesis :"Extra Structures on Three-Dimensional Cobodisms"
A publication resulting from work on thesis:
-
Extra structure and the universal construction for the
Witten-Reshetikhin-Turaev TQFT, (with Patrick Gimer) Proc. Amer. Math. Soc. 142 (2014), pp. 2915-2920.
Susan
Abernathy (LSU August 2014)
Tenure track Assistant Professor at Angelo State University,
San Angelo, TX.
Thesis :"Obstructions to Embedding Genus-1 Tangles in Links"
Publications resulting from work on thesis:
-
On Krebes' tangle, arXiv:1208.3913,
Topology and its Applications, 160 (2013), no. 12, 1379–1383.
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The Kauffman bracket ideal for genus-1 tangles, J. Knot Theory Ramifications 24 (2015), no. 2, 1550007, 30 pp (arXiv:1309.4803)
Andrew Holmes (LSU May 2017)
Martin Marietta (May 2017)
Thesis :"On the Skein Theory of 0-framed Surgery Along the Trefoil Knot"
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