Department of Mathematics | University of Cincinnati
Email: wijesisw@mail.uc.edu
About Me
Welcome! I am a PhD candidate in Mathematics at the University of Cincinnati, specializing in Euclidean harmonic analysis. My doctoral research focuses on flattening weights—a subclass of Muchanhoupts weights—and the study of non-autonomous Bellman functions arising in this context. I am expected to graduate in Spring 2026 and will be seeking a postdoctoral position.
My primary research focuses on Euclidean harmonic analysis and Martingale theory, with specific interests in:
Sharp inequalities and optimizers.
Weighted inequalities.
Behavior of function classes involving scale (VMO, flattening weights) under monotone rearrangement.
Scale-dependent Bellman functions for above function classes
Probability: Martingale transformations and inequalities for martinagales.
Publications & Preprints 📄
Monotone rearrangement theorem for Flattening weights.(In preparation) Working Paper, Expected Year 2026.
Bellman function analysis on Flattening weights \(F_2\)(In preparation) Working Paper, Expected Year 2026.
Bellman function analysis on Flattening weights \(F_{\infty}\)(In preparation) Working Paper, Expected Year 2026.
Presentations 🎤
Conference Talks
"Non autonomouse Bellman functions on flattening weights," Ohio River Analysis Meeting, Location University of Cincinnati , Year 2025.
"Monotone rearrangemnet theorem for flattening weights," Prairie Analysis Seminar, Location University of Kansas , Year 2024.
"Monotone rearrangemnet theorem for flattening weights," Ohio River Analysis Meeting, Location University of Kentucky , Year 2024.
Seminar Talks
"Flattening weights," Graduate student seminar-Department of Mathematical sciences, University of Cincinnati, Fall 2024.
"\(A_p\) weights and Hardy-Littlewood maximal functions," Mathematics graduate student association math seminar, University of Cincinnati, Spring 2023.
Teaching Experience 🍎
University of Cincinnati (Adjunct Graduate Teaching Assistant)
College Algebra [Math 1021-009]- (Instructor of Record, Fall 2025)
College Algebra [Math 1021-012]- (Instructor of Record, Fall 2025)
University of Cincinnati (Graduate Teaching Assistant)
Pre-Calculus (Math 1026) (Instructor of Record, Summer 2025)
Calculus II (Math 1062) (Instructor of Record, Summer 2024)
College Algebra (Math 1021) (Instructor of Record, Spring 2024)
Pre-Calculus and Calculus I (Math 1060) (Teaching Assistant, Fall 2023)
Calculus II (Math 1062) (Teaching Assistant, Fall 2023)
Calculus I (Math 1061) (Teaching Assistant, Spring 2023)
Applied Calculus I (Math 1044) (Teaching Assistant, Fall 2022)
Pre-Calculus (Math 1026) (Instructor of Record, Summer 2022)
Calculus II (Math 1062) (Instructor of Record, Summer 2024)
Applied Calculus II ( (Instructor of Record, Spring 2022)
Mathematics of Social Choice (Math 1014)- (Instructor of Record, Fall 2021)
Pre-Calculus and Calculus I (Math 1060) (Teaching Assistant, Spring 2021)
Calculus I (Math 1061) (Teaching Assistant, Spring 2021)
University of Colombo, Sri Lanka (Assitant Lecturer/Instructor)
Essential Mathematics fot Statistics (ST 3013) (Instructor of Record, Semester II 2020)
Basic Analysis I (PM 1013) (Teaching Assistant, Semester II 2020)
EFoundations of Mathematics (PM 1011) (Teaching Assistant, Semester I 2020)
Essential Mathematics fot Statistics (ST 3013) (Instructor of Record, Semester II 2019)
Basic Mathematics (FND 1207) (Instructor of Record, Semester II 2019)
Real Analysis II (PM 3052) (Teaching Assistant, Semester II 2019)
Basic Mathematics (FND 1207) (Instructor of Record, Semester I 2019)
Differential equation II (AM 2001) (Teaching Assistant, Semester I 2019)
Linear Algebra (PM 2002) (Teaching Assistant, Semester I 2019)
Calculus II (PM 2001) (Teaching Assistant, Semester I 2019)
Sets and Combinatorics (PM 1004) (Teaching Assistant, Semester I 2019)