Curriculum Vitae

Department of Mathematics                                                                                          Texas State University                                                                                                    601 University Drive                                                                                                      San Marcos, TX 78666

Email: pshroff at txstate.edu

Internet: https://pshroff.wp.txstate.edu

Education 

Ph.D., Mathematics, Texas A&M University, 2007 – 2012,  Advisor: Dr. Sarah Witherspoon                                                                                                              M.Sc., Mathematics, University of Pune, 2005 – 2007                                                        B.Sc., Mathematics, MES Abasaheb Garware College, Pune, 2002 – 2005

Employment 

Senior Lecturer, Texas State University, September 2016 – present                        Lecture, Texas State University, September 2012 – August 2016                            Instructor of Record, Texas A&M University, Summer 2011                                      Graduate Research/Teaching Assistant, Texas A&M University, September 2007 – August 2012

Grants

Affordable Learning Materials Grant, Texas State University (co-PI Shane Lowe, TxState), $4000, June – December 2022.

Awards and Honors

  1. Service Excellence Award, Department of Mathematics, Texas State University, (2018 & 2022).
  2. Department’s Nominee for Presidential Award for Excellence in Teaching, Texas State University, (2018 & 2022).
  3. 2022 College Achievement for Excellence in Teaching, College of Science and Engineering, Texas State University.
  4. Teaching Excellence Award, Department of Mathematics, Texas State University, 2021.
  5. Teaching Award of Honor, Texas State Alumni Association, 2020.
  6. One time Honoree, Graduating Student Recognition of Campus Support Program, 2019.
  7. “Favorite Professor” (2016 & 2019) of Texas State, Alpha Chi Chapter of the Honors College.
  8. Two time Honoree, Student Veteran Appreciation of Campus Support Program, Texas State University.
  9. One time Honoree, New Student Appreciation of Campus Support Program, Texas State University.
  10. Outstanding Service Award, India Association (Student Organization), Texas A&M University, 2008.
  11. Recipient of Regents Fellowship, Texas A&M University, Fall 2007.
  12. Center for Teaching (CTE) Certificate for completing International Teaching Assistant (ITA) forum learning community, Texas A&M University, Fall 2007.
  13. Damodar Ganesh Ramdasi Gold Medal for Highest number of marks and stood first at Master of Science (M.Sc.) Mathematics exam April/May 2007, University of Pune, India.
  14. Late Principal Wrangler Gopalkrishna Laxman Chandratraya Gold Medal for Highest number of marks and stood first at Master of Science (M.Sc.) Mathematics exam April/May 2007, University of Pune, India.

Teaching Experience

College Algebra, Plane Trigonometry, Mathematics for Business and Economics I & II, Calculus for Life Sciences I & II, Elementary Statistics, Discrete Mathematics I & II, PreCalculus, Calculus I, II & III, Integral Calculus with Multivariable and Series, Intro to Advanced Mathematics, Differential Equations, Linear Algebra, Modern Algebra, University Seminar.

Texas A&M University (2007 – 2012):

  • Instructor: Mathematical Concepts- Calculus.
  • Recitation TA: Calculus I & II.
  • Help Session: Business Mathematics, Mathematical Concepts – Calculus.
  • Grader (Graduate level): Differential Geometry I, Methods of Applied Mathematics I (Math 601), A Survey of Mathematical Problems II (Online Course).
  • Grader (Undergraduate level): Advanced Calculus I, Modern Geometry, Linear Algebra.

Research Interests 

Cohomology of algebras, Deformation Theory, Hopf algebras

Publications 

  1.  Hochschild cohomology of group extensions of quantum symmetric algebras (with Deepak Naidu and Sarah Witherspoon), Proc. Amer. Math. Soc. 139 (2011), 1553 – 1567.
  2. Finite generation of the cohomology of quotients of PBW algebras, J. Algebra 390 (2013), 44 – 55.
  3. Quantum Drinfeld orbifold algebras, Communications in Algebra 43 (2015), 1563 – 1570.
  4. PBW deformations of skew polynomial rings and their group extensions (with Sarah Witherspoon), J. Algebra and Its Applications 15 (2016), no. 3.
  5. Order dividing bijective function from non-cyclic to cyclic groups of same finite order (with Austin Allen, Ashely Chen, and Jessica Ding), arxiv.org: 1706.05045v1
  6. Oriented hypergraphic Matrix-tree type Theorems and bidirected minors via Boolean order ideals (with Ellen Robinson, Lucas Rusnak, and Martin Schmidt), Journal of Algebraic Combinatorics (2018).  https://doi.org/10.1007/s10801-018-0831-5 
  7. Affordable Learning Materials and Texas State University: First-year report from the Managing Textbook Costs Committee (with Vedaraman Sriraman, Dana R Willett, Jokwon Bagby, Mary Ellen Cavitt, Matthew Gonzales, Sonya Gutierrez, Lindsay Kipp, Benjamin R Martin, Sergio Martinez, Seth McNeill, Gwendolyn Morel, Dianna Morganti, Michael Nowicki, Eric J Paulson, Mark Paz, John Root, Glenn Tanner, Barry Underhill), Texas State University, 2020.
  8. Affordable Learning Materials and Texas State University: Second-year report from the Managing Textbook Costs Committee (with Vedaraman Sriraman, Dana R Willett, Jokwon Bagby, Mary Ellen Cavitt, Matthew Gonzales, Sonya Gutierrez, Lindsay Kipp, Benjamin R Martin, Sergio Martinez, Seth McNeill, Gwendolyn Morel, Dianna Morganti, Michael Nowicki, Eric J Paulson, Mark Paz, John Root, Glenn Tanner, Barry Underhill), Texas State University, 2021.
  9. Modeling the spatial and temporal trends of COVID-19: A balanced network analysis approach (with Adam Vaughan, Maria Tomasso, Skyler Johnson, Peter Ye, William Dai, Aaron Guo, Russell Li, Joyce Qu, Charles Sun, Sophia Zhong, and Lucas Rusnak), under review.

Invited Talks

  1. Mapping non-cyclic groups to cyclic groups: order preserving bijections, MES Abasaheb Garware College, Pune, India, January 5, 2024.
  2. Order dividing bijective function from non-cyclic to cyclic groups of the same finite order, Fall Southeastern Virtual Sectional Meeting, November 21, 2021.
  3. Hochschild Cohomology, MIT-World Peace University, Pune, India, February 1, 2021 (virtual talk).
  4. Order dividing bijective function from non-cyclic to cyclic groups of the same finite order, MIT-World Peace University, Pune, India, December 22, 2020 (virtual talk).
  5. Math Tricks, Math Club, Texas State University, San Marcos, TX, November 4, 2020 (virtual talk).
  6. Hyperbolic Functions, MES Abasaheb Garware College, Pune, India, October 13, 2020 (virtual talk).
  7. Introduction to Vedic Mathematics, Math Club, Texas State University, San Marcos, TX, March 21, 2018.
  8. Introduction to Game Theory, Math Club, Texas State University, San Marcos, TX, September 25, 2015.
  9. PBW deformations of skew polynomial rings and their group extensions, The Southwestern Group Theory Day, University of Arizona, Tucson, AZ, March 21, 2015.
  10. Linear systems and its applications, Math Club, Texas State University, San Marcos, TX, November 5, 2014.
  11. Quantum Drinfeld orbifold algebras, AMS Spring Central Sectional Meeting (Special Session on Non Commutative Algebra, Derformations, and Hochschild Cohomology), Texas Tech University, Lubbock, TX, April 12, 2014.
  12. Quantum Drinfeld orbifold algebras, Algebra and Combinatorics Seminar, Texas A&M University, College Station, TX, March 21, 2014.
  13. Finite Generation of Cohomology, Commutative Algebra Seminar, University of Nebraska-Lincoln, November 16, 2011.
  14. Koszul Algebra, Guest Lecture, University of Pune, India, January 10, 2011.
  15. Hochschild cohomology of group extensions of quantum symmetric algebras, Guest Lecture, University of Pune, India, January 11, 2010.
  16. Introduction to cohomology, Guest Lecture, University of Pune, India, January 2009.

Conference/Workshop Talks

  1. Poster Presentation on Modeling a “Total Lockdown” scenario for Covid-19 in the United States via Balanced States (with Lucas Rusnak and Maria Tomasso), 2022 Health Scholar Showcase, Texas State University, San Marcos, TX, April 8, 2022.
  2. Relationship between color Lie algebras and quantum Drinfeld orbifold algebras, Southern Regional Algebra Conference  University of South Alabama, Mobile, AL, March 18, 2017.
  3. Poster Presentation on Applications of Matrices, Graduate Mathematics Open Hourse, Texas State University, San Marocs, TX, November 8, 2013.
  4. Poster Presentation on Finite generation of the cohomology of quotients of PBW algebras, Cohomology and Support in Representation Theory and Related Topics, University of Washington, Seattle, Washington, August 1, 2012.
  5. Finite generation of the cohomology of quotients of PBW algebras, Young Researchers Meet, Stanford University, Stanford, CA, May 26, 2012.
  6. Poster Presentation on Finite generation of the cohomology of quotients of PBW algebras, Southwest Local Algebra Meeting (SLAM), Texas Tech University, Lubbock, TX, March 3-4, 2012.
  7. Finite generation of the cohomology of quotients of PBW algebras, AMS Contributed Paper Session on Associative and Nonassociative Algebras and Rings: Homological Algebras and Category Theory, Joint Mathematics Meeting (JMM), Boston, MA, January 7, 2012.
  8. Poster Presentation on Finite generation of the cohomology of quotients of PBW algebras, Project Next/Young Mathematician’s Network Poster Session, Joint Mathematics Meeting (JMM), Boston, MA, January 4, 2012.
  9. Poster Presentation on Finite generation of the cohomology of quotients of PBW algebras, AMS Central Sectional Meeting, University of Nebraska-Lincoln, NE, October 14-16, 2011.
  10. Cohomology of quotients of quantum symmetric algebras, UNT and TAMU Workshop on Algebras, University of North Texas, Denton, TX, April 23, 2011.
  11. Poster Presentation on Cohomology of quotients of quantum symmetric algebras, Southwest Local Algebra Meeting (SLAM), New Mexico State University, Las Cruces, NM, March 5-6, 2011.
  12. Introduction to PBW algebra, Workshop on Deformations, Texas A&M University, College Station, TX, October 23, 2010.
  13. Poster Presentation on Hochschild cohomology of group extensions of quantum symmetric algebras, Southwest Local Algebra Meeting (SLAM), University of Texas, Arlington, TX, March 6-7, 2010.

Local Seminar Talks

  1. Relationship between color Lie algebras and quantum Drinfeld Orbifold algebras, Discrete Math Seminar, Texas State University, San Marcos, TX, September 25, 2015.
  2. Introduction to homological algebra, Discrete Math Seminar, Texas State University, San Marcos, TX, November 2, 2012.
  3. Finite generation of cohomology, Algebra and Combinatorics Seminar, Texas A&M University, College Station, TX, October 28, 2011.
  4. Chain conditions, Graduate Student Organization Seminar, Texas A&M University, College Station, TX, September 15, 2011.
  5. Localization, Graduate Student Organization Seminar, Texas A&M University, College Station, TX, April 15, 2010.

Conferences/Workshops Attended

  1. Graduate Student Research Conference, Texas State University, San Marcos, TX, April 2, 2024.
  2. 103rd Texas Section of the Mathematical Association of America (MAA), Texas State University, San Marcos, TX, March 22 – 23, 2024.
  3. Southwest Local Algebra Meeting (SLAM), University of Oklahoma, Norman, OK, February 24-25, 2024.
  4. Combina Texas, Texas A&M University, College Station, Texas, April 22-23, 2023.
  5. SyData 22, a one-day symposium on Data Science and Machine Learning, Texas State University, San Marcos, TX, September 30, 2022.
  6. 2022 STEM Communities Summer Institute, Texas State University, San Marcos, TX, May 18-27, 2022.
  7. Combina Texas, Texas A&M University, College Station, TX, March 4-5, 2022.
  8. Southwest Local Algebra Meeting (SLAM), Baylor University, Waco, TX, February 26-27, 2022.
  9. 2021 Fall Southeastern Virtual Sectional Meeting, Nov 20-21, 2021.
  10. 2021 STEM Communities Summer Institute, Texas State University, San Marcos, TX, May 19-28, 2021.
  11. Summer 2020 STEM Teaching Workshop, Texas State University, San Marcos, TX, May 18-22, 2020.
  12. WISE (Women in Science and Engineering) conference, Texas State University, San Marcos, TX, March 6, 2020.
  13. Combina Texas, Texas A&M University, College Station, TX, March 23-24, 2019.
  14. WISE (Women in Science and Engineering) conference, Texas State University, San Marcos, TX, March 8, 2019.
  15. AMS Fall Central Sectional Meeting, University of North Texas, Denton, TX, September 9-10, 2017.
  16. Southern Regional Algebra Conference, University of South Alabama, Mobile, AL, March 17-19, 2017.
  17. Combina Texas, Texas A&M University, College Station, TX, May 7-8, 2016.
  18. Southwest Local Algebra Meeting (SLAM), Texas State University, San Marcos, TX, February 27-28, 2016.
  19. The Southwestern Group Theory Day, University of Arizona, Tucson, AZ, March 21, 2015.
  20. AMS Spring Central Sectional Meeting, Texas Tech University, Lubbock, TX, April 11-13, 2014.
  21. Southwest Local Algebra Meeting (SLAM), Texas A&M University, College Station, TX, March 1-2, 2014.
  22. Southwest Local Algebra Meeting (SLAM), University of Arizona, Tucson, AZ, March 2-3, 2013.
  23. Further Connections Between Algebra and Geometry, North Dakota State University, Fargo, ND, February 2-3, 2013.
  24. Cohomology and Support in Representation Theory and Related Topics, University of Washington, Seattle, WA, July 27 – August 5, 2012.
  25. Young Researchers Meet, Stanford University, Stanford, CA, May 26-27, 2012.
  26. Lie Theory Workshop Series – Hopf Algebras and related topics, University of Southern California, Los Angeles, CA, May 5-6, 2012.
  27. Southwest Local Algebra Meeting (SLAM), Texas Tech University, Lubbock, TX, March 3-4, 2012.
  28. Joint Mathematics Meeting (JMM), Boston, MA, January 4-7, 2012.
  29. AMS Fall Central Sectional Meeting, University of Nebraska-Lincoln, NE, October 14-16, 2011.
  30. NFS/CBMS Conference on Deformation Theory of Algebras and Modules, North Carolina State University, Raleigh, NC, May 16-20, 2011.
  31. Southwest Local Algebra Meeting (SLAM), New Mexico State University, Las Cruces, NM, March 5-6, 2011.
  32. Southeastern Lie Theory Conference on Homological Methods in Representation Theory, University of Georgia, Athens, GA, May 22-24, 2010.
  33. Lie and Representation Theory Summer School, University of Georgia, Athens, GA, May 10-21, 2010.
  34. Southwest Local Algebra Meeting, University of Texas, Arlington, TX, March 6-7, 2010.
  35. AMS Fall Central Sectional Meeting, Baylor University, Waco, TX, October 16-18, 2009.
  36. National workshop on Fourier Analysis on finite groups and its applications, University of Pune, India, March 5-9, 2007.
  37. Mathematics Training and Talent Search Programme (Funded by National Board for Higher Mathematics), Mumbai, India, May 15 – June 10, 2006.
  38. Visiting Students Summer Programme, Harish Chandra Research Institute, Allahabad, India, June 7-28, 2005.

Student Mentoring

  1. Mathworks Honors Summer Math Camp Mentor (High School Students) for 2016 Siemens competition.
  2. Co-Mentoring undergraduate students Ellen Robinson, Martin Schmidt, 2014 – 2015.

Thesis Committee Member

  1. Master’s Thesis: Joshua Rice 2018.

Affiliations

  1. Member of Mathematical Association of America, October 2022 – Present.
  2. Member of Texas Eta Chapter of Pi Mu Epsilon (National Honorary Mathematics Society)
  3. Member of Texas A&M University Chapter of Sigma Xi (a scientific research society for science and engineering)

Department Service

  1. Faculty Co-Advisor, Society for Industrial and Applied Mathematics (SIAM) Chapter at Texas State University, September 2023 – Present.
  2. Chair, Math Graduate Programs Expo Committee, April 2021 – Present.
  3. Department Representative, HSI community day, September 15, 2022.
  4. Member, Math Graduate Programs Expo Committee, April 2018 – March 2021.
  5. Faculty Advisor, Texas Rho Chapter of Pi Mu Epsilon, September 2015 – August 2022.
  6. Reader for Pi Mu Epsilon during Department Awards Ceremony, 2015 – 2022.
  7. Organizer, Calculus Bee, 2014 – 2022.
  8. Department Representative, Commencement, 2014 – 2019.
  9. Presenter, Department Awards Ceremony, 2014 – 2015 & 2022.
  10. Ex-Officio, Student Affairs Committee, September 2019 – August 2020.
  11. Member, Student Affairs Committee, September 2017 – August 2019.
  12. Help and Prepare students for the Putnam Competition, 2015 – 2017.
  13. Table Host, Graduate Math Open House, 2013 – 2017.
  14. Co-director, pilot of Undergraduate Teaching and Research Assistant (UTRA) Program, 2014 – 2015. (It’s a program to begin the integration of undergraduate mathematicians into research).
  15. Volunteer, Bobcat days, 2014 – 2015.
  16. Co-organizer, Graduate Student Organization Seminar, Texas A&M University, 2009 – 2011.

College

  1. Member, COSE (College of Science and Engineering) UG (Undergraduate) Scholarship Committee, January 2024 – Present.
  2. Presenter, COSE (College of Science and Engineering) welcome event for new freshmen, August 16, 2023.
  3. Department representative on Planning Committee of Welcome event for new freshman, July – August 2022.
  4. Faculty Respondent, International Research Conference for Graduate Students, April 6-8, 2021 & April 5-7, 2022.
  5. Poster Judge, WISE (Women in Science and Engineering) conference, March 6, 2020.
  6. Undergraduate Marshal for Spring 2019 commencement, May 16, 2019.
  7. Presenter, 2019 COSE (College of Science and Engineering) Open House, March 30, 2019.
  8. Department Representative, Mathematics Visit Insight Day, February 9, 2018.
  9. Department Representative, Undergraduate STEM Open House, April 14, 2017.

University Service

  1. Member, BookSmart Review Committee, September 2023 – Present.
  2. Member, Faculty Classroom Technology Committee, September 2023 – Present.
  3. Faculty Senate Fellow, September 2023 – May 2024.
  4. Member, Presidential Award for Excellence in Teaching Selection Committee, February 2022 – Present.
  5. Member, Managing Textbook Costs Committee, September 2019 – May 2023.
  6. Reviewed three internal OER (Open Education Resources) grant proposal, Fall 2021.
  7. Math Department Senate Liaison, September 2019 – May 2022.
  8. Faculty Advisor, Badminton Club, January 2014 –  May 2015.
  9. Volunteer, Family Weekend, Fall 2014.

Professional Service

  1. Member, Local Organizer Committee for  103rdTexas Section of the Mathematical Association of America (MAA), San Marcos, TX, March 22 – 23, 2024.
  2. Judge, SIMIODE (SCUMDEM V 2020), 2020.
  3. Co-organizer, Special Session on Generalizations of Graph Theory at the AMS Fall Central Sectional Meeting, Denton, September 9-10, 2017.
  4. Co-organizer, Southwest Local Algebra Meeting (SLAM), San Marcos, TX, February 27-28, 2016.
  5. Reviewer: Journal of Algebraic Combinatorics, Special Matrices Journal, Asian Research Journal of Mathematics, Journal of Advances in Mathematics and Computer Science, Journal of Applied Mathematics and Information Services, Asian Journal of Mathematics and Computer Research, British Journal of Applied Science and Technology, British Journal of Mathematics and Computer Science, JP Journal of Algebra, Number Theory and Applications, Open Access Journal operated by Multidisciplinary Digital Publishing Institute.

Community Service

  1. Volunteer, 4th Annual Family Math Night organize by San Marcos CISD, March 27, 2019.
  2. Volunteer, 2nd Annual Family Math Night organize by San Marcos CISD, March 23, 2017.
  3. Volunteer, 1st Annual Family Math Night organize by San Marcos CISD, March 23, 2016.