Books

Semidefinite Optimization and Convex Algebraic Geometry (free pdf copy),
Editors: Grigoriy Blekherman, Pablo A. Parrilo and Rekha R. Thomas,
MOSSIAM Series on Optimization 13
, 2012.
( Edited volume with 9 chapters on the foundations of the emerging field of
Convex Algebraic Geometry. Read more on the SIAM page linked above. )

Lectures in Geometric Combinatorics , Rekha R. Thomas.
Student Mathematical Library, 33. IAS/Park City Mathematical
Subseries. American Mathematical Society, Providence, RI;
Institute for Advanced Study (IAS), Princeton, NJ, 2006. viii+143
pp. ISBN: 0821841408
( These are lecture notes from the Advanced Undergraduate Course in
Geometric Combinatorics at the Park City Mathematics Institute, July
2004, (with help from Edwin O'Shea).)

Trends in optimization. Lectures from the American Mathematical
Society Short Course held in Phoenix, AZ, January 56, 2004. Edited by
Serkan Hosten, Jon Lee and Rekha R. Thomas. Proceedings of Symposia
in Applied Mathematics, 61. AMS Short Course Lecture Notes.
American Mathematical Society, Providence, RI, 2004. x+140
pp. ISBN: 082183584X 9006 (90Cxx)

Computational Algebra and Combinatorics of Toric Ideals. Diane
Maclagan and Rekha R. Thomas. Part I of Commutative Algebra and
Combinatorics, Lecture Notes Series, 4. Ramanujan
Mathematical Society, India, 2007.
Proceedings of the
International Workshop and Conference on Computational Algebraic
Geometry, Harish Chandra Research Institute, Allahabad, India, Dec
813, 2003, (R.V. Gurjar, S.A. Katre, Ravi A. Rao, J.K. Verma eds.)
( Part I of this book consists of six lectures that were prepared for a
workshop for graduate students by Diane Maclagan and myself. Each
lecture is accompanied by a tutorial (mostly using the computer). The
tutorials were by A. Khetan, L. Gold, A.V. Jayanthan,
T. Puthenpurackal and S. Faridi.)
Journals

Lifts of Convex Sets in Optimization. Edited by
Volker Kaibel and Rekha R. Thomas. Mathematical Programming Series B,
August 2015.

Algebraic and Geometric Methods in Discrete Optimization. Edited by
Karen Aardal and Rekha R. Thomas. Mathematical Programming Series B,
Volume 96, Number 2 / May 2003.

Groebner Bases Edited by Takayuki Hibi and Rekha R. Thomas, Journal of Pure and Applied Algebra, Volume 213, Issue 8, August 2009