Curriculum Vitae
Maria Nogin
Department of Mathematics
5245 North Backer Avenue M/S PB108
California State University, Fresno
Fresno, California 93740, USA
Email: mnogin@csufresno.edu
Web: http://zimmer.csufresno.edu/~mnogin/
Office phone: (559) 278-4908
Cell phone: (559) 960-9420
Education
- October 2003: Ph.D. in Mathematics, University of Rochester, Rochester, NY
Adviser: Professor Frederick Cohen
- March 2000: M.A. in Mathematics, University of Rochester, Rochester, NY
- June 1998: Diploma, Faculty of Mechanics and Mathematics,
Division of Mathematics, Moscow State University,
Moscow, Russia
Employment
- California State University Fresno, Fresno, CA
- August 2017 - present: Professor
- August 2010 - August 2017: Associate Professor
- August 2003 - August 2010: Assistant Professor
- California State University Channel Islands, Camarillo, CA
- August 2006 - May 2007: Visiting Assistant Professor
- University of Rochester, Rochester, NY
- January 2001 - May 2003: Dean's Teaching Fellow (part-time)
- September 1998 - December 2000: Graduate Teaching Assistant (part-time)
Research Interests, including areas for student projects
| |
Geometry and topology. Group theory. Number theory. Graph theory. |
Classes taught
- California State University Fresno, Fresno, CA
- Spring 2025: Problem Solving (Math 145), Capstone Mathematics for Teachers (Math 149S)
- Fall 2024: Calculus I (Math 75), Transition to Advanced Mathematics (Math 111),
Math 198 (two students studying permutations in Rubik's cubes)
- Spring 2024: Calculus II (Math 76), Transition to Advanced Mathematics (Math 111),
Capstone Mathematics for Teachers (Math 149S)
- Fall 2023: on sabbatical leave
- Spring 2023: Calculus II (Math 76), Discrete Structures (Math 114),
Capstone Mathematics for Teachers (Math 149S), Undergraduate Independent Study (student studying logic)
- Fall 2022: Calculus with Review IB (Math 75B), Transition to Advanced Mathematics (Math 111),
Problem Solving (Math 145)
- Spring 2022: Calculus with Review IA (Math 75A), Discrete Structures (Math 114),
Capstone Mathematics for Teachers (Math 149S)
- Fall 2021: Calculus with Review IA (Math 75A), Transition to Advanced Mathematics (Math 111),
Problem Solving (Math 145)
- Spring 2021: Exploring Mathematics (Math 100), Discrete Structures (Math 114),
Capstone Mathematics for Teachers (Math 149S)
- Fall 2020: Calculus with Review IA (Math 75A), Transition to Advanced Mathematics (Math 111),
Problem Solving (Math 145)
- Spring 2020: Capstone Mathematics for Teachers (Math 149S),
Principles of Algebra (Math 151)
- Fall 2019: Exploring Mathematics (Math 100), Discrete Structures (Math 114),
Problem Solving (Math 145)
- Spring 2019: Calculus with Review IB (Math 75B), Symbolic Logic (Math 110),
Capstone Mathematics for Teachers (Math 149S), Graduate Independent Study (two students studying cryptography)
- Fall 2018: Exploring Mathematics (Math 100),
Problem Solving (Math 145)
- Spring 2018: Calculus with Review IB (Math 75B),
Capstone Mathematics for Teachers (Math 149), Undergraduate Independent Study (student studying logic)
- Fall 2017: Calculus with Review IA (Math 75A),
Discrete Structures (Math 114)
- Spring 2017: Symbolic Logic (Math 110),
Capstone Mathematics for Teachers (Math 149), Graduate Independent Study (student studying logic),
Masters Project (Math 298, "The Four Numbers Game and its Variants"),
and Masters Thesis (Math 299, "An Investigation of Power Sums of Integers")
- Fall 2016: on sabbatical leave, collaborating with
Graduate Independent Study (supervised by Adnan Sabuwala, Math 290, two students studying number theory)
- Spring 2016: Capstone Mathematics for Teachers (Math 149),
Masters Thesis (Math 299, "Investigation of the topological interpretation of modal logics")
- Fall 2015: Exploring Mathematics (Math 100),
Problem Solving (Math 145),
Graduate Independent Study (Math 290, student studying topological semantics of modal logics)
- Spring 2015: Exploring Mathematics (Math 100),
Capstone Mathematics for Teachers (Math 149)
- Fall 2014: Exploring Mathematics (Math 100),
Problem Solving (Math 145)
- Spring 2014: Calculus I (Math 75),
Transition to Advanced Mathematics (Math 111)
- Fall 2013: Calculus I (Math 75),
Problem Solving (Math 145)
- Spring 2013: Exploring Mathematics (Math 100),
Graduate Independent Study (Math 290, student studying topics in geometry)
- Fall 2012: Calculus I (Math 75),
Transition to Advanced Mathematics (Math 111)
- Spring 2012: Capstone Mathematics for Teachers (Math 149),
Principles of Algebra (Math 151)
- Fall 2011: Mathematical Analysis with Review IA (Math 75A),
Mathematical Analysis with Review IB (Math 75B)
- Spring 2011: Calculus with Review IB (Math 75B),
Capstone Mathematics for Teachers (Math 149)
- Fall 2010: Mathematical Analysis with Review IA (Math 75A),
Transition to Advanced Mathematics (Math 111)
- Spring 2010: Trigonometry (Math 5),
Capstone Mathematics for Teachers (Math 149),
Undergraduate Independent Study (Math 190, student studying problem solving)
- Fall 2009: Calculus with Review IB (Math 75B),
Problem Solving (Math 145)
- Spring 2009: Mathematical Analysis with Review IA (Math 75A),
Exploring Mathematics (Math 100),
Capstone Mathematics for Teachers (Math 149),
Masters Project (Math 298, "A comparison of the limit of a sequence and the limit of a function")
- Fall 2008: Principles of Algebra (Math 151),
Masters Project (Math 298, "Squaring the square and related problems")
- Spring 2008: Exploring Mathematics (Math 100), Masters project (Math 298, started work)
- Fall 2007: Transition to Advanced Mathematics (Math 111),
Graduate Independent Study (Math 290, student studying applications of graph theory)
- Spring 2006: Transition to Advanced Mathematics (Math 111)
- Fall 2005: Mathematical Analysis with Review IA (Math 75A),
Problem Solving (Math 145), Masters Project (Math 298, "Methods of cryptography")
- Summer 2005: Mathematical Analysis I (Math 75)
- Spring 2005: Mathematical Analysis I (Math 75),
Intermediate Mathematical Analysis I (Math 171),
Masters Project (Math 298, "Sylow subgroups of symmetric groups"),
Graduate Independent Study (Math 290, student studying cryptography),
Undergraduate Independent Study (Math 190, student studying discrete structures)
- Fall 2004: Mathematical Analysis II (Math 76),
Discrete Structures (Math 114)
- Spring 2004: Mathematical Analysis I (Math 75),
Principles of Algebra (Math 151),
Undergraduate Independent Study/Senior Project ("Some special cases of the Frobenius problem")
- Fall 2003: Mathematical Analysis I (Math 75),
Problem Solving (Math 145)
- California State University Channel Islands, Camarillo, CA
- University of Rochester, Rochester, NY
- Kirov Summer School for Gifted Students, Kirov, Russia
- Summer 1992: (Teaching Assistant) Grades 6-7 (Geometry, Combinatorics, Elementary Number Theory, Graphs, and other topics)
External Grants
- 2022-2023: (joint with Y. Lu, K. Tran, A. Tuska) Increasing underrepresented minority participation in the Fresno Math Circle program, Tensor-SUMMA Grant,
funded by MAA
- 2019-2020: (joint with A. Sabuwala, J. Tague, A. Tuska) Expanding the Fresno Math Circle and Other Enrichment Activities, Dolciani Mathematics Enrichment Grant,
funded by MAA
- 2018-2019: (joint with A. Sabuwala, J. Tague, A. Tuska) Expanding the Fresno Math Circle and Other Enrichment Activities, Dolciani Mathematics Enrichment Grant,
funded by MAA
- 2017-2018: (joint with A. Sabuwala, J. Tague, A. Tuska) Expanding the Fresno Math Circle and Organizing Enrichment Activities such as Preparation Sessions for
the AMC and Math Kangaroo Competitions, Dolciani Mathematics Enrichment Grant, funded by MAA
- 2015-2016: (joint with D. DeLeon, C. Caprau, A. Tuska) Inspiring and Nurturing through Events and Mentoring Grant, MAA, not funded
- 2009-2016: (Fresno Site Director) Mathematics Diagnostic Testing Project, funded by California Academic Partnership Program
- 2008-2009: (Project Director; joint with A. Tuska and M. Sanbongi) Tensor-SUMMA Grant, funded by MAA
- 2004-2008, 2012-2016: (Coordinator and corresponding applicant; joint with A. Tuska (all years except AY 2013-14; joint with
R. Amarasinghe in AY 2013-14) Math Field Day, funded most years, CMC Student Activity Trust Fund
- 2004-2008, 2012-2016: Obtained external donations from private businesses for the Math Field Day prizes
- 2004-2006: (joint with R. Amarasinghe, K. Byler, P. Tannenbaum, A. Tuska) Mini-grant from MAA,
Preparing Mathematicians to Educate Teachers Project
("A mathematics course for foundations of Modern Algebra and Number Theory for future middle or secondary teachers at CSU Fresno", funded by NSF)
- 1996: Grant from International Soros Science Educational Program ("Soros Student")
- 1994: Student Participant of a research Grant from International Soros Science Educational Program
Publications
- M. Nogin, K. Nogin, and M. Nogin, "Permutations in Rubik's Cubes", Math Horizons, Vol. 32, Issue 3 (2025), 6-9
- N. Newsome, M. Nogin, and A. Sabuwala, "Symmetry of the power sum polynomials", Journal of Integer Sequences, Vol. 20 (2017), Article 17.6.6
- M. Nogin, "Optimizing prisms of all shapes and dimensions", College Mathematics Journal, 2017, (48), 199-203
- M. Nogin and B. Xu, "Modal logic axioms valid in quotient spaces of finite
CW-complexes and other families of topological spaces", International Journal of Mathematics and Mathematical Sciences, Vol. 2016 (2016)
- M. Nogin and B. Xu, "The relationship between modal axioms and topological properties",
Journal of Mathematical Sciences and Applications, 2016, 4(1), 29-33
- M. Nogin, "This is not a coincidence! On Curious Patterns in Calculus Optimization Problems",
Far East Journal of Mathematical Education, volume 16, number 3, 2016,
http://arxiv.org/abs/1603.08542
- Textbook: M. Nogin, Strategies of Problem Solving, 2nd edition. Create Space publishing, 2014
- Textbook: M. Nogin, Strategies of Problem Solving. Create Space publishing, 2013
- Textbook: R. Amarasinghe, L. Burger, M. Nogin, A. Tuska, O. Vega, Exploring Mathematics.
Investigations for Elementary School Teachers, 1st edition. Cognella, 2012
- Textbook: R. Amarasinghe, L. Burger, M. Nogin, A. Tuska, O. Vega, Exploring Mathematics. Investigations for Elementary School
Teachers. Cognella, 2011
- M. Nogin and A. Nogin, "On dynamic topological logic of
the real line", Journal of Logic and Computation, Volume 18, Number 6, 2008
- M. Nogin, "A short proof of Eilenberg and Moore's theorem", Central European Journal of Mathematics, Volume 5, Number 1, 2007
- M. Voloshina, On the holomorph of a discrete group,
Ph.D. thesis, University of Rochester, 2003. http://arxiv.org/pdf/math.GR/0302120
- M.S. Voloshina, D.V. Zakamskaya, and M.M. Kondakova. "Asymptotic properties of means." Automation and telemechanics, 1995 (in Russian)
Talks/presentations
- August 2024: Which configurations of Rubik's cubes are possible? MAA Invited Paper Session on 50 Years of Embodied Mathematics in the Rubik's Cube,
MAA MathFest, Indianapolis, IN
- August 2024: The two ropes and related puzzles, Math Circles in Motion: A Dynamic Activity and Poster Session, MAA MathFest, Indianapolis, IN
- February 2024: Permutations in Rubik's cubes, Pure Math Junior Seminar, CSU Fresno
- January 2024: (joint with J. Belden) The Four Numbers game, AIM-MAA Special Session on Math Circle Activities as a Gateway to Research,
Joint Mathematics Meetings, San Francisco, CA
- January 2024: (joint with K. Nogin and M. Nogin, presented by them) Games with special moves, AIM-MAA Special Session on Math Circle Activities as a Gateway to Research,
Joint Mathematics Meetings, San Francisco, CA
- October 2023: The Four Numbers Game, San Jose Math Circle, Santa Clara, CA
- February 2023: Triangle Centers, Pure Math Junior Seminar, CSU Fresno
- January 2022: Triangle Centers, Pure Math Junior Seminar, CSU Fresno
- January 2020: (in memory of A. Sabuwala) Fresno Math Circle program: much more than just a math circle, MAA Session on Tangents to Math Circles, Joint Mathematics
Meetings, Denver, CO
- May 2018: (joint with A. Sabuwala) The magical way to learn mathematics, 2 presentations at Clovis High School
- January 2018: (joint with A. Sabuwala and J. Tague) Nim-like games with 2D boards, MAA Session on Math Circle Topics with Visual or Kinesthetic Components,
Joint Mathematics Meetings, San Diego, CA
- January 2018: (joint with N. Newsome and A. Sabuwala, presented by A. Sabuwala), Congruences of power sums, AMS Session on Number Theory,
Joint Mathematics Meetings, San Diego, CA
- January 2018: (joint with N. Newsome and A. Sabuwala, presented by N. Newsome), Symmetry of the power sum polynomials,
AMS Session on Research in Combinatorics, Matrix Theory, and Number Theory by Undergraduate and Post-Baccalaureate Students, Joint Mathematics Meetings, San Diego, CA
- September 2017: Triangle Centers, Pure Math Junior Seminar, CSU Fresno
- August 2017: (joint with A. Sabuwala) The magical way to learn mathematics,
5 presentations total at Roosevelt High School and Design Science Early College High School
- June 2017: (joint with A. Sabuwala) The magical way to learn mathematics, 10 presentations total at Edison High School, Duncan Polytechnical School,
and Clovis High School
- March 2017: My sabbatical: math circle and research, Mathematics Seminar, CSU Fresno
- March 2017: (joint with A. Sabuwala) Mathemagics!, Mathematics Colloquium, CSU Fresno
- January 2017: (joint with A. Sabuwala) The magical way to learn mathematics, MAA Unexpected Topics for a Math Circle
session, Joint Mathematics Meetings, Atlanta, GA
- January 2017: (joint with B. Xu) Modal logic axioms valid in quotient spaces of finite CW-complexes and other
families of topological spaces, Joint Mathematics Meetings, Atlanta, GA
- October 2016: (joint with N. Newsome and A. Sabuwala, presented by N. Newsome) Symmetry of the power sum polynomials,
MAA Sectional Meeting, Los Angeles, CA
- February 2016: This is not a coincidence! Peculiar patterns in some Calculus
optimization problems explained, GAUSS, California State University, Fresno, CA
- January 2016: This is not a coincidence! On patterns in some Calculus
optimization problems., MAA Helping Students See Beyond Calculus Session, Joint Mathematics Meetings, Seattle, WA
- September 2015: The logic of a topological space, Mathematics Seminar,
California State University Fresno, Fresno, CA
- March 2014: Mathematics Diagnostic Testing Project: A Tool for Common Core and Beyond, Tools for success: common core, college, and
career conference, Merced, CA
- October 2013: Teaching and assessing problem solving, MDTP Users Meeting, Fresno, CA
- May 2013: Mathematics Diagnostic Testing Project, STEM Learning In Action Conference, Fresno, CA
- February 2013: (joint with John Sarli) The Mathematics Diagnostic Testing Project (MDTP) Online, Effective Tools for preparing
students for access and success in higher education conference, Fresno, CA
- August 2012: From the Riemann Sums to the Riemann Hypothesis, International Conference on Mathematical Analysis, Moscow, Russia
- December 2011: Topological interpretations of modal logics, Colloquium, Moscow State University, Moscow, Russia
- December 2011: Mathematics Diagnostic Testing Project in the USA, Session on Secondary School Examination, Pedagogical Conference,
Moscow, Russia
- October 2010: Using MDTP results to identify students' misconceptions, MDTP Users Meeting, Fresno, CA
- Fall 2009-present: Numerous local presentations about MDTP as part of the MDTP Site Director work, Central Valley, CA
- March 2009: Making math fun, Teachers of tomorow leadership camp, School of Education, California State University Fresno,
Fresno, CA
- May 2008: WeBWorK, a Web-based Homework System, Summer Technology Institute,
Fresno City College and California State University,
Fresno, CA
- May 2008: Stacking cups activity, Teachers of tomorow leadership camp, School of Education, California State University Fresno,
Fresno, CA
- May 2008: Dynamic topological logic of the real line, AMS Spring Western Section Meeting,
Claremont, CA
- November 2007: Topological semantics of modal logics, Mathematics Seminar, California State University Fresno, Fresno, CA
- June 2007: Braids, knots, and links (Trenzas, nudos, y cadenas), Second CSUCI-UAEH Joint Meeting,
California State University Channel Islands, Camarillo, CA
- March 2007: The logic of topology, Mathematics Seminar,
California State University Fresno, Fresno, CA
- December 2006: The logic of topology, Graduate Mathematics Seminar, California State
University Channel Islands, Camarillo, CA
- November 2006: Concurrencies in Morley's triangle, Undergraduate Mathematics Seminar,
California Lutheran University, Thousand Oaks, CA
- March 2006: Morley's triangle, Cusick's incenters, and using Mathematica to investigate them,
Mathematics Seminar, California State University Fresno, Fresno, CA
- January 2006: A problem solving class for math majors, MAA Session on Teaching and Assessing Modeling and Problem Solving,
Joint Mathematics Meetings, San Antonio, TX
- December 2005: (joint with Rajee Amarasinghe) Algebra and modern algebra courses for teachers,
Asilomar Mathematics Conference: Math Success for Every Child, Monterey, CA
- October 2005: Holomorph and other semi-direct products of groups, Mathematics Seminar,
California State University Fresno, Fresno, CA
- January 2005: Japanese lesson study, AMS Special Session on Mathematicians' Work on
Mathematics Education, Joint Mathematics Meetings, Atlanta, GA
- April 2004: A short proof of a theorem of Eilenberg and
Moore, AMS Spring Western Section Meeting, Los Angeles, CA
- November 2003: The braid group,
Colloquium for Honors Science Major Students, California State University Fresno, Fresno, CA
- January 2003: On the holomorph of a discrete group,
AMS Special Session on Homotopy Theory, Joint Mathematics Meetings, Baltimore, MD
- December 2002: On the holomorph of a discrete group, Topology Seminar,
University of Rochester, Rochester, NY
Other Conference/Workshop Presentations
- October 2015: MDTP for the Gear Up Program, Arches Access workshop, Fresno, CA
- September 2014: MDTP table, poster on Teaching and assessing problem solving, UC Counselor Conferences, Merced, CA
- February 2013: MDTP table, Effective Tools for preparing students for access and success in higher education conference, Fresno, CA
- September 2010: MDTP table, poster on Identifying students' misconceptions, UC Counselor Conferences, Fresno, CA
Academic and Professional Community Service
- Alliance of Indigenous Math Circles, Navajo and Hopi Reservations, AZ and NM
- March 2018: 7 Math Circle sessions total for K-12 students at Moencopi Day School, Moencopi, AZ; Navajo Preparatory School, Farmington, NM;
First Mesa Elementary School, First Mesa, AZ; Naschiti Elementary School, Naschiti, NM; and Dream Dine Charter School, Shiprock, NM
- California State University Fresno, Fresno, CA
- 2016-present: Co-organizer of the Problem Solving Contest for High School students
- Spring 2016: Judge for the Graduate Research and Creative Activities Symposium
- 2015-present: Fresno Math Circle founder, coordinator, and instructor
- 2015-2016: Department of Mathematics ARC liason
- 2015-present: Co-organizer of the Problem Solving Contest for Fresno State students
- 2015-2016: Tenure-track Faculty Search Committee Chair
- 2014-present: Primary manager of the Math Kangaroo in the USA Fresno Center
- 2013-2014: Math 75 Coordinator
- Fall 2012, Spring 2016, Spring 2017, Spring 2021, Spring 2022: Member of a Masters Thesis Committee
- Fall 2009-2016: Assessment coordinator, Department of Mathematics
- Spring 2009-2015: Coordinator and leader of Saturday Math Problem Solving Sessions at Fresno State
- Spring 2009, 2010, 2012: Coordinator and co-leader of Math League meetings, Hoover High School, Fresno
- 2008-2009: Co-leader of Math Team meetings, University High School, CSU Fresno
- 2007-2008, 2017: Coordinator of the Capstone Mathematics for Teachers (Math 149) course development
- 2005-06, 07-08, 08-09, 16-17: Member of the Smittcamp Family Honors College
applications review team
- 2005-2006: Math Club (for mathematics majors) co-adviser
- 2005-2019: Member of the University Undergraduate Academic Program Review Committee
- 2004-2008, 2012-2017: Math Field Day coordinator
- 2004-present: Integration Bee problem contributor/judge/volunteer
- 2004-2005: Introduced WeBWorK to the Mathematics Department;
Fall 2005-Spring 2006, Fall 2007-Spring 2013: administrator of our
own WeBWorK server
- 2003-2006: Math Department Catalog and Curriculum Committee Chair
- Fall 2003, Fall 2005: Faculty adviser for a Problem Solving Competition
(Fall 2003 website, Fall 2005 website)
- Fall 2003 - present: Advising 10-25 math majors every semester.
- Have served on the following department committees: Articulation, Catalog and Curriculum, Convocation, Graduate, Graduate Writing,
Library, Major Redesign, Math 111 Course Development, Math 75 Coordinated Course, Math 75A Supplemental Text,
Math Field Day, Part-time Instructor Pool, PRC, Scholarship, Single Subject Credential Program Review, Remedial Redesign,
Sonya Kovalevsky Day, Tenure-track Faculty Search, Undergraduate Program Review, Undergraduate Research
- Have served on the following college committees: Budget and Space,
International Activities, Science II Building Exhibit, Scholarship
- Reviewer
- 2016-present: The American Mathematical Monthly, MAA
- 2016-present: The College Mathematics Journal, MAA
- 2015-2016: Marat Markin, Integration Handbook
- Mathematics Diagnostic Testing Project
- Summer 2012: Summer Workgroup Workshop participant
- Fall 2010, 2013 Organizer of the MDTP Users Meeting
- 2009-2016: Fresno Site Director
- Conferences
- August 2024: MAA MathFest, Indianapolis, IN
- Volunteer, Rubik's Cube session
- January 2024: Joint Mathematics Meetings, San Francisco, CA
- Reviewer, Student Poster Session
- May 2023: AMS Spring Western Sectional Meeting, Fresno, CA
- Co-organizer, Special Session on Math Circle Games and Puzzles that Teach Deep Mathematics
- January 2020: AMS/MAA Joint Mathematics Meetings, Denver, CO
- Judge, MAA Undergraduate Poster Session; Volunteer, Julia Robinson Festival
- January 2018: AMS/MAA Joint Mathematics Meetings, San Diego, CA
- Judge, MAA Undergraduate Poster Session
- January 2017: AMS/MAA Joint Mathematics Meetings, Atlanta, GA
- Judge, MAA Undergraduate Poster Session
- April 2016: Central California Research Symposium, Fresno, CA
- Judge, Student Oral Presentations and Poster Session
- January 2016: AMS/MAA Joint Mathematics Meetings, Seattle, WA
- Judge, MAA Undergraduate Poster Session
- April 2013 Central California Research Symposium, Fresno, CA
- Judge, Student Oral Presentations
- January 2006: AMS/MAA Joint Mathematics Meetings, San Antonio, TX
- Judge, MAA Undergraduate Poster Session
- Moderator, AMS-MAA-SIAM Special Session on Research in Mathematics by Undergraduates
- Central California Regional Science, Mathematics, and Engineering Fair
- Spring 2004, 2015, 2022: Judge, Senior Division
- Local School Districts, and California State University Fresno, Fresno, CA
- January 2016: Co-instructor at the CAMP professional development institute for teachers
- July 2010: Instructor at summer institute for teachers
- 2004-2010: Participant of elementary/middle/high school lesson development and study projects
- University of Rochester, Rochester, NY
Awards
- 2024-2025 Exceptional Levels of Service to Students Award, CSU Fresno
- 2023-2024 The Presidents's Faculty and Staff Service Award, CSU Fresno
- 2022-2023 The Presidents's Faculty and Staff Service Award, CSU Fresno
- 2019-2020 Exceptional Levels of Service to Students Award, CSU Fresno
Professional Membership
last update: February 12, 2025