Math, Computers, Geology & Physics Faculty

I am interested in studying population dynamics. I implement the general theory of dynamical systems to describe and capture the behavior of solutions. I apply different mathematical approaches for this purpose. For instance, I apply the adaptive dynamics approach combined with the singularity theory to study the evolutionary dynamics of competitive phenotypes. I also use the control theory to optimize the cost of treatment for tumor virotherapy. I apply a fractional derivative approach to capture the memory of the derivative to enhance the understanding of related systems.

My scholarship centers on Order Restricted Inference (ORI) within Survival Analysis, with a particular emphasis on modeling time-to-event data under structured constraints such as ordered hazard rates or survival functions. This line of inquiry enhances comparative assessments across groups and treatments, advancing both methodological rigor and interpretive clarity. More broadly, as a statistician engaged in interdisciplinary research, I seek to integrate robust statistical theory with applied inquiry in fields including healthcare, engineering, and economics. Through these collaborations, I aim to extend the boundaries of statistical methodology while generating insights that illuminate complex, real-world phenomena.

GIRIJA NAIR-HART, Ph.D.
Professor, Mathematics (2010 – present)
4200 Clermont College Drive, Batavia, OH. 45103. Office: West Woods Academic Center 279 e-mail: nairhaga@ucmail.uc.edu office tel.: 513 – 558 - 5356. Cell# 614 – 796 - 3385


US EDUCATIONAL BACKGROUND

• PHD, MATHEMATICS EDUCATION. THE OHIO STATE UNIVERSITY, 2010

(COLLEGE STUDENTS’ CONCEPT IMAGES OF ASYMPTOTES, LIMITS, AND CONTINUITY OF RATIONAL FUNCTIONS)

• MST, PURE MATHEMATICS. FLORIDA ATLANTIC UNIVERSITY, 1993

(36 GRADUATE CREDITS IN PURE MATHEMATICS. ABSTRACT ALGEBRA, REAL ANALYSIS. THESIS: EXTENSION OF RIESZ REPRESENTATION THEOREM WITH SIGMA TOPOLOGY)

• BACHELOR OF ARTS, PURE MATHEMATICS. FLORIDA ATLANTIC UNIVERSITY, 1992

 
 
HONORARIUMS/SPECIAL PROJECTS

• University -wide Student Experience Project, Spring Semester 2026. $500.00 honorarium
• Clermont College Bearcat AI group, Fall semester 2025. Receive $300.00 for software purchase
• “Research experience for Teachers” NSF funded, Teaching through Challenge-based Learning. UC College of Engineering and Applied Sciences. $6,000/ 7-week long training. 2019
• “Experientially Driven Mathematics Modelling Program” NSF funded and sponsored by Mathematics Transition in STEM Education. $1,000/ 5 – day long Summer Institute. 2015
• “Scientific Teaching” STEM Course Design. UC CET&L. $500/Summer Institute. 2014
• Internal QM Peer-Review, Online Adolescent Psychology course. $50.00. 2014.

 Developing online Calculus 1, Calculus 2, Multivariable Calculus courses ($750.00/course. 2013, 2014, 2015 respectively) 
 
SELECTED GRANTS RECEIVED

• Great Gateways Grant – Redesigning Calculus 1 Course. $12,310.00 (2022)
• Designing Service-Learning Course/Price Hill. $2,000 (1000.00 matching from the Dean) (2020)
• UC President’s Diversity Incentive Grant. $3,000 (2016), $10,000 (2015), $7,400 (2014)

 

• Mini Research Grant, American Mathematical Association for Two-Year Colleges. $750 (2015)

 

• Travel Grant, American Mathematical Association. $250 (2013)

 

• Internal Professional Development Grants since 2010. $31,000 (2010 – 2026)

SELECTED SERVICE ENGAGEMENTS

• CHAIR, MCGP RPT Committee (Fall 2023 – Spring 2026)
• MCGP Rep. UCC Faculty Senate (spring 2022 – fall 2023)
• Voting Member, College Reappointment, Promotion, & Tenure Committee 22S, 21F
• CHAIR, MCGP RPT Committee, Math Tenure-track Faculty Search Committee 2021
• Member, Associate Dean Search Committee, 2021
• CHAIR, MCGP RPT Committee 2020, 2019, 2018, 2017
• CHAIR, MCGP RPT Committee, 3T (College’s Teaching, Techniques & Technology) Conference Committee 2018
• CHAIR, MCGP RPT Committee, JMM 2018, 2017, and 2016 themed conference sessions
• Member, Academic Affairs Committee – University-wide. 2016 - 2018
• Member, Provost’s Text Book Affordability Committee – University-wide. 2012 - 2015
• CHAIR, MCGP RPT Committee, Math Educator Faculty Search Committee. 2011, 2012
• Addressed incoming freshmen at the college “Ants, Birds and Crickets”; two forums, success in mathematics courses. 2014

SELECTED LIST OF PROFESSIONAL PRESENTATIONS
 
NATIONAL/INTERNATIONAL
 
The Gardner Institute. A Symposium on Transforming the Postsecondary Experience. 2026.
Oct 14 – 15. Indianapolis, IN.
 

• Regulating AI for Student Success: A Constructivist Redesign of Gateway Calculus

 
AMATYC – American Mathematical Association for Two Year Colleges. 2026
Nov. 19 – 22, 2026, Philadelphia, PA.

 

• Guiding Calculus I Reasoning with AI-Supported Inquiry and Reflection

 
INTED – International Technology, Education and Development Conference, 2026. Valencia, Spain.

• Overcoming Barriers to Learning in STEM: Fostering Critical Thinking and Self-regulation through AI-enabled Tutoring and Constructivist Pedagogy.

 
AMS – American Mathematical Society, Fall Meeting 2025. 7/19/2025.

• The Chain Rule, the Process versus Concept, Missouri

 
The Gardner Institute. A Symposium on Transforming the Post-Secondary Experience. 2024.
Oct 10 – 11. PITTSBURGH, PA.

• Unlocking Student Motivation: Crafting Authentic Pathways to Mathematical Knowledge.
   

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2024. Jan 3 – 6, SAN FRANSISCO, CA.

• Concept Equilibration, Aligning Formal Concept Definition with Student’s Concept Images - the Focus of a Redesigned Calculus 1 Course.

 
ITLC Lilly - Evidence-Based Teaching & Learning Conference, 2024. Austin, Texas. 2024

• Refining Learning Assessment that Enhances Knowledge Expression in a Redesigned Calculus Course.

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2023. Jan 4 – 7, BOSTON, MA

• Integrating Sweet Potatoes - A service-learning calculus project.

 
INTED – International Technology, Education and Development Conference, 2022. Valencia, Spain. (LATER MOVED TO ON-LINE, COVID)

• Equity and Inclusion, Practical Strategy for Mathematics Classrooms.

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2021. DENVER, CO. January 15–18

• Inquiries into Student Understanding and Insights into Student Misunderstanding.

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2020 (did not attend – COVID19)

• Re-Envisioning Calculus Sequence - Example of a Challenge Based Unit.

 
JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2019. Baltimore, MD, January 16–19

• Exploration of Precalculus Concepts using Project-based Assessment Techniques.

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2018. San Diego, CA, January 10-13

• Evidence for Concept Modi?cation – The limit Concept of Post-secondary Students. 2018

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2017. Atlanta, GA, January 4–7

• Fostering concept modification through Light Board technology. 2017
• What one must know about students' concept formation. 2017
• Session on Assessment - Who is on the other end? Online Courses. 2017

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2016. Seattle, WA, January 6–9

• Online mathematics courses – A discussion on access and success. 2016
• Alternative Approaches, I. Aftermath – after traditional math tests. 2016
• Facilitating collaboration in online multivariable calculus course via google docs. 2016

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2015. San Antonio, TX, January 10–13

• Ed the Imaginary Kid and the Case of a Missing Point.
• Fresh Approaches for Jaded Students - Re-discovering the Power and Joy of calculus with First Year College Students. 2015
• Reasons behind the Rules – Aligning the Unreachable Asymptotes.
   

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2014. Baltimore, MD, January 15–18

• Beyond the Letter Grade – Teaching and Learning in Mathematics Classrooms.
• Concept Modification – A Teaching Experiment.

JMM – The Joint Mathematics Meetings of American Mathematical Society and Mathematical Association of America. 2013. San Diego, CA, January 9–12

• Excavation Definition. 2013

 
PMENA - North American Chapter - the International Group for Psychology of Mathematics Education. 2011, Reno, NV

• What was observed during phase 2 of a teaching experiment aimed at facilitating concept modification: asymptotes, limits, and continuity. 2011

PMENA - North American Chapter - the International Group for Psychology of Mathematics Education. 2010. Columbus, OH.

• Calculus Students' Concept Images of Asymptotes, Limits, and Continuity of Rational Functions as observed during phase 1 of a teaching experiment – Research Report.

 
LOCAL
I.D.E.A.S forum, UC Clermont College. 2022.

• Calculus of Calculus in Arteries – 2022.

 
World Fest UC. 2021. Co-presenter.

• India, a Rich and Diverse Heritage, 2021.

 
STEM Conference. Northern Kentucky University. 2019

• Poster presentation – Optimizing the energy exerted by heart muscles at the arterial branching.

PUBLICATIONS
 

• Overcoming Barriers to Learning in STEM: Fostering Critical Thinking and Self-regulation through AI-enabled Tutoring and Constructivist Pedagogy. Conference Proceedings, INTED – International Technology, Education and Development, 2026

 

• Equity and Inclusion, Practical Strategies for mathematics Classrooms. Conference Proceedings, INTED – International Technology, Education and Development, 2022

 

• Modeling of Signalized Intersection Design and Impacts. NSF Research Report. 2019 (Co-author)

 

• A Teaching Experiment to Facilitate Concept Modification: Asymptotes, Limits, and Continuity. Conference Proceedings, the North American Chapter of the International Group for the Psychology of mathematics Education, October 2011

 

• Calculus Students' Concept Images of Asymptotes, Limits, and Continuity of Rational Functions. Conference Proceedings, the North American Chapter of the International Group for the Psychology of mathematics Education, October 2010

 
 
Journal Articles Close to Resubmission

 

• Journal of Mathematical Behavior
  Tracing Conceptual Change in Calculus: A Teaching Experiment Study of Students’ Understanding of Key Concepts.
   
• MathAMATYC Educator

CLEVER: Redefining Horizontal Asymptotes through Exploration, Verification, Explanation, and Reflection.
 
 
 
 
 
 
 
 
SCHOLARLY ENGAGEMENTS
 

• Member, the editorial team. Journal on Excellence in College Teaching (just starting). The Original Lilly Conference

• QM peer reviewer (Content Expert) Linear Systems for Engineering course (Florida International University), 2019
• Reviewed three chapters for Top Hat publishers College Algebra Textbook, 2018
• Internal peer reviewer – online calculus 1 and multivariable calculus courses 2017 - 2024
• QM peer reviewer (Content Expert) College Algebra course (University of Toledo) 2015, 2019
• Reviewed 41 conference proposals for the 3T Conference, 2018
• Research Report Review: 7 conference proposals for the PMENA, 2014
• Research Report Review: 5 conference proposals for the PMENA, 2013
• Textbook Review: Musser, G. L., Burger, W. F., & Peterson, B. E. (2008). Mathematics for Elementary Teachers: A Contemporary Approach (8th ed.). John Wiley & Sons.

 
TEACHING AWARD NOMINATIONS AT UC CLERMONT
 

• Nominated for the university’s Dolly Cohen award for Teaching Excellence, 2018
• Nominated for UC Clermont College’s Teaching Excellence awards and Faculty relations awards 2012, 2014, 2016, 2018, 2019, 2020, 2021, 2023

I am a theoretical particle physicist with training in quantum field theory, string theory, supersymmetry, and gravity.  My research focuses primarily on aspects of solitons in quantum field theory and gauge theory.  I also work with undergraduate students on classical solutions and numerical simulations related to soliton physics.  I recently held an NSF grant entitled "RUI: Solitons and Quantum Field Theory," award number 2112781, and a list of my publications can be found at https://inspirehep.net/authors/1053208.

I am interested in geomorphology, landscape evolution, and using surface features and geochemical data to study paleoclimate. I am also interested in learning to characterize/quantify processes driven by climatic forcings that shape the surface of the Earth. My research focuses on LGM glaciation of the arid Chilean Andes.