My research interests are geometry, foundations of mathematics, history of mathematics, and mathematics education. I have been studying the works of Mario Pieri (1860-1913), an algebraic geometer who also made significant contributions to foundations of mathematics.

Selected Invited Talks


  • 2022 " H.S.M. Coxeter’s Theory of Accessibilty: Opening Paths to «Conversations» Over Decades with G.K.C. Von Staudt, M. Pieri, and M.J. Greenberg." Pepperdine University. October 25th.
  • 2022 "H.S.M. Coxeter’s Theory of Accessibility: A Narrative in the Language of Synthetic Projective Geometry." Claremont Seminar in the History and Philosophy of Mathematics. October 24th
  • 2022 "H.S.M. Coxeter’s Theory of Accessibility as a Catalyst for the Exploration of Planes without Continuity and the Work of Mario Pieri in Synthetic Projective Geometry". Modern Geometry and its Foundations. January 13-15, 2022. Vienna, Austria. Zoom
  • 2017 "The enduring legacy of Mario Pieri (1860-1913)". AWM Research Symposium, University of California, Los Angeles, California.
  • 2015 "Insights into Bézout’s Theorem, from Descartes to Pieri". Western Section Meeting of the AMS, CSU Fullerton. October.
  • 2010 "Mario Pieri, the man, the scholar, the teacher". L’opera scientifica di Mario Pieri (1860-1913) a 150 anni dalla nascita. Associazione Sub. Mathesis – Seminario di Storia delle Matematiche Tullio Viola, Dipartimento di Matematica ‘Giuseppe Peano’ – Università di Torino, Italia. March.
  • 2009 "Projective Geometry from Pappus to Pieri". Sonoma State University Department of Mathematics and Statistics Colloquium. April.
  • 2008 "I fondamenti della geometria nella scuola di Peano". Congresso Internazionale Giuseppe Peano e la sua Scuola, fra matematica, logica e interlingua. Accademia delle Scienze, Torino, Italy. October.
  • 2007 "Evaluating the research of Mario Pieri (1860-1913) in algebraic geometry". Workshop on Contemporary Schubert Calculus and Schubert Geometry. Banff International Research Station, Banff, Canada. March.
  • 2006 "Mario Pieri: standing on the shoulders of Peano". Les mathématiques italiennes au XIXe siècle. Le Séminaire de Philosophie des Mathématiques. Centre d'épistémologie et d'ergologie. comparatives. Université de Provence, France. October.
  • 2006 "Emerging from the shadows: Mario Pieri, the man and his work". San Francisco State University Mathematics Colloquium Series, California. May.
  • 2005 "The projective geometry of Mario Pieri". Istituto Tecnico Pier Cresecnzi, Bologna, Italia. October.
  • 2004 "Mario Pieri's contributions to inversive geometry". Fourth International Congress. Societa Italiana Storia delle Mathematiche. Padova, Italy. September.
  • 2004 "Foundations of geometry: connections between Alfred Tarski and Mario Pieri". International Conference on Statistics and Mathematics. Hawaii. June.
  • 2003 "Mario Pieri's role in the history of algebraic geometry and foundations of mathematics". Spring Eastern Sectional Meeting of the AMS, Courant Institute of New York University, April.
  • 2002 "The fundamental theorem of projective geometry". Conference on the History of Modern Mathematics sponsored by The British Society for the History of Science and the Open University. Milton Keynes, England. September.
  • 2002 "Mario Pieri, rediscovered". Conference on the History of Modern Mathematics sponsored by The British Society for the History of Science and the Open University. Milton Keynes, England.
  • 2002 "Mario Pieri in the shadow of Peano, von Staudt and Hilbert". Special AMS Session on the History of Mathematics. Joint Annual Meeting AMS/MAA. San Diego, January.
  • 2000 Pappus’ theorem and commutativity of multiplication". Special AMS Session on Great Theorems. Joint Annual Meeting AMS/MAA. Washington D.C., January.
  • 1993 "The contributions of Mario Pieri to the foundations of Mathematics and Logic". International Congress on the History of Science, Zaragoza, Spain.


    • Pedagogical Talks, Workshops, Panels, Media, and Course Design

  • 2018- Design and Implementation of a Distance Learning on-line upper division general education course for the Bachelors of Arts in Liberal Studies at CSUN.
  • 2011 "Inquiry-Learning Strategies for a Hybrid Introduction to Proofs Course". The 14th Annual Legacy of R. L. Moore Conference. Educational sponsored by the Advancement Foundation in cooperation with the MAA. Washington D.C. June.
  • 2011 "Mathematical Culture and Mathematical Life". MAA Panel Discussion. Joint AMS-MAA Mathematics Meetings, New Orleans, Louisiana, January.
  • 2008 "Why Do I Need to Prove This?" In-Service Geometry Workshop for High School Teachers. Department of Mathematics. University of Utah. August.
  • 2008 "Engaging graduate student teaching assistants and prospective teachers in expository research". AMS-MAA Special Session on The Scholarship of Teaching and Learning in Mathematics. Joint AMS-MAA Mathematics Meetings. San Diego, California. January.
  • 2008 "An on-line course for prospective teachers to develop habits for life-long learning". With graduate student, Michael Cole. Session on Curriculum Materials for Preservice Middle School Mathematics Teachers. Joint Mathematics AMS/MAA Meetings. San Diego, California. January.
  • 2008 Design and Implementation of a Hybrid Course (Integrating Technology) for the Major’s Course, Mathematics 320 (Foundations of Higher Mathematics). CSUN. With J. Rosen
  • 2007 Design and Implementation of a Hybrid Course (Integrating Technology) for the General Education Course, Mathematics 131 (Mathematical Ideas). CSUN. With A. Alekseenko and M. Schilling.
  • 2005 "Mathematics from an in-depth perspective: a course for secondary school teachers with content envisioned as applied mathematics". Mathematics Colloquium Series. Humboldt State University, California. September.
  • 2005 "Liberal arts mathematics: making a connection between us and them". Project NExT. Albuquerque Math Fest. MAA Summer meeting. August.
  • 2005 "Teaching teachers to do proofs". Preparing Mathematicians to Educate Teachers. PMET Workshop, University of San Diego, June.
  • 2004 "Finite geometries as a tool to understanding the why and how of doing proofs". PMET Workshop, University of San Diego, June.
  • 2002 "Teachers’ mathematics – A collection of content deserving to be a field". National Council of Teachers of Mathematics, Las Vegas, April.
  • 2000 "The CSUN Developmental Mathematics Program". AMS Session on Innovative Development Programs for Teaching Assistants and Part Time Instructors, joint AMS/MAA annual meeting, Washington D.C., January.
  • 1999 "Geometry from and Advanced Standpoint. Opening a new window on Euclidean geometry". University of Chicago Mathematics Project Conference, Chicago.
  • 1999 "Outreach programs for women and girls: Mathematics science and technology outreach program". Joint AMS-MAA Annual Meeting, Texas, January.
  • 1998 "Focus on Faculty – Effective Pedagogy for Students who are Deaf and Hard of Hearing".Telecast. National Center on Deafness, CSUN.
  • 1997 "Empowering graduate student instructors and students in their developmental classes: providing opportunities for teach development in response to different styles of student learning". Joint AMS-MAA Annual Meeting, San Diego.
  • 1996 "Non-traditional texts for traditional courses". MAA Southern California Section. CSU Fullerton.
  • 1996 "Non-traditional text for a first course in proofs". AMS Summer meeting, University of Washington, Seattle.
  • 1995 "Mathematics- A universal language in an international arena". Phi Beta Delta International Honor Society, CSUN.
  • 1994 "California Institute of Technology Project MATHEMATICS!" California Mathematics Council of Community Colleges, Newport Beach.
  • 1991 "Teachers’ Workshop for Project MATHEMATICS!" Videotape Production - California Institute of Technology. Producer: Tom Apostol.
  • 1983. Design and Implementation of a Developmental Mathematics Program. CSUN. 1993 Noel LevitzCenter National Conference on Student Retention, New Orleans: Award for Outstanding Mathematics Program



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