Books

• Sum of Squares: Theory and Applications, Editors: Pablo A. Parrilo and Rekha R. Thomas,
  Proceedings of Symposia in Applied Mathematics, AMS, Volume: 77; 2020; 142 pp; Softcover MSC: Primary 05; 14; 52; 68; 90;
  Lectures from the 2019 AMS Short Course: Sums of Squares -- Theory and Applications
  
  
• Semidefinite Optimization and Convex Algebraic Geometry (free pdf copy),
  Editors: Grigoriy Blekherman, Pablo A. Parrilo and Rekha R. Thomas, MOS-SIAM 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: 0-8218-4140-8
  ( 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 5-6, 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: 0-8218-3584-X 90-06 (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 8-13, 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