"On the dimension distortion under fractionally smooth mappings", joint with R. Alvarado, September 2025, preprint on ArXiv, submitted.
"Hölder spiral arcs", joint with V. Vellis, February 2025, preprint on ArXiv, submitted.
"Dimensions and metric dyadic cubes", To appear in Cont. Math. Amer. Math. Soc. (2025+), preprint on ArXiv.
"Universal quasiconformal trees", joint with F. Ioannidis and V. Vellis, November 2024, preprint on ArXiv, submitted.
"On concentric fractal spheres and spiral shells", Nonlinearity 38 (3), 1–21 (2025), preprint on ArXiv.
"Sobolev mappings on metric spaces and Minkowski dimension", Proc. Amer. Math. Soc. 153, 223–237 (2025), preprint on ArXiv.
"On the Assouad spectrum of Hölder and Sobolev graphs", joint with J. Tyson, To appear in Math. Proc. Cambridge Philos. Soc. (2025+), preprint on ArXiv.
"Quasiregular distortion of dimensions", Conform. Geom. Dyn. 28, 165-175 (2024), preprint on ArXiv.
"Minkowski weak embedding theorem", joint with S. Troscheit, Houston J. Math. 50(2), 259–273 (2024), preprint on ArXiv.
"A geometric property of quadrilaterals", joint with Aimo Hinkkanen, Ann. Fenn. Math. 49(1), 281–302 (2024), preprint on ArXiv.
"Hölder continuity and dimensions of fractal Fourier series", joint with A.J. Hildebrand, J. Anal. 33, 1973–1996 (2025), preprint on ArXiv.
"Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals ", joint with J. Tyson, Bull. London Math. Soc. 55: 282-307 (2023), preprint on ArXiv.
"Quasiconformal trees and embeddability", Advances and Connections of Modern Geometric Function Theory, University of Michigan, October 2025
"Fractal notions of dimension in rigidity and classification", Analysis seminar, Clemson University, October 2025
"Spirals, Shells, and Hölder arcs", Ohio River Analysis Meeting conference, University of Cincinnati, March 2025
"Embeddability and fractal dimensions", Analysis Seminar, Vanderbilt University, February 2025
"Shrinking concentric fractal spheres", Analysis Winter Meeting conference, Aristotle University of Thessaloniki, December 2024
"Universal quasiconformal trees", Dynamical Systems seminar, The Open University (UK), October 2024
"Metric Sobolev mappings and dimension distortion", AMS 2024 Fall Eastern Sectional Meeting, Special Session on Non-smooth Analysis and Geometry, University at Albany, October 2024
"Sharp bounds on the Assouad spectrum of graphs", Geometry and Fractals under the midnight sun, University of Oulu, June 2024
"Assouad spectrum bounds for graphs of Hölder and Sobolev functions", Dynamical Systems and Fractal Geometry (in honor of M. Urbanski receiving the Sierpinski Medal), University of North Texas, May 2024
"Assouad spectrum of Hölder and Sobolev function graphs", AMS 2024 Spring Eastern Sectional Meeting, Special Session on Interactions Between Analysis, Geometric Measure Theory, and Probability in Non-Smooth Spaces, Howard University, March 2024
"Dimension notions and holomorphic maps", Analysis Winter Meeting, Aristotle University of Thessaloniki, December 2023
"Geometric properties of quadrilaterals", Analysis Seminar, University of Tennessee, Knoxville, August 2023
"Hölder continuity of certain fractal Fourier series", AMS 2023 Spring Central Sectional Meeting, Special Session on Interactions between Analysis, PDE, and Probability in Non-smooth Spaces, University of Cincinnati, April 2023
"Holomorphic distortion of the Assouad spectrum", Geometric and Functional Analysis Seminar, University of Helsinki, April 2023
"Quasiconformal distortion of dimensions in metric spaces", AMS 2023 Spring Eastern Sectional Meeting, Special session on Quasiconformal Analysis and Geometry on Metric Spaces, Stony Brook University (virtually), April 2023
"Assouad dimension and spectrum under quasiconformal mappings", Geometric Analysis seminar, University of Jyväskylä, February 2023
"Minkowski dimension bounds of generalized fractal Fourier series", Analysis Winter Meeting, Aristotle University of Thessaloniki, December 2022
"Fractals under quasiconformal maps", Smooth Functions on Rough Spaces and Fractals, B.I.R.S., November 2022
"Distortion of dimension notions under quasiconformal and quasiregular mappings", Analysis Seminar, Stony Brook University, November 2022
"Fractal Fourier series and dimensions", AWM Graduate Colloquium, University of Illinois at Urbana-Champaign, October 2022
"Assouad dimension and spectrum under quasiconformal mappings", University of California, Los Angeles, Quasiworld seminar, October 2022
"Bi-Lipschitz and quasiconformal classification of certain spirals", CUNY, Graduate Center and Hunter College, Hyperbolic Geometry Seminar, October 2022
"Quasiconformal distortion of dimensions and applications", Texas Tech University, Analysis Seminar, February 2022
"Complex Dynamics and Brjuno numbers", Washington University in St. Louis, Szego Seminar, November 2020
"Random walks based on continued fraction expansions of real numbers", joint with AJ Hildebrand, A. Jin, published at Wolfram Demonstrations Project
"Fractal curves generated by Fourier series", joint with AJ Hildebrand, N. Kokkines, A. Park, published at Wolfram Demonstrations Project
"Bedford-McMullen carpets", joint with X. Jia, T. Yang, published at Wolfram Demonstrations Project
"Julia Sets Produced by Cubic Polynomials", joint with X. Jia, T. Yang and S. Zimmerman , published at Wolfram Demonstrations Project
*All demonstrations were peer-reviewed before being published.
In Spring 2023 I visited Sylvester Eriksson-Bique for a reading/research course with Riku Anttila on the notions of Nagata and Lipschitz dimension.
In addition, I was a Research Assistant at University of Illinois at Urbana-Champaign for Summers 2019, 2020, 2021 and Spring 2022 under the supervision of Professors A. Hinkkanen and J. Tyson. While funded for those terms, subjects I worked on other than the projects mentioned above include:
Irrationally indifferent fixed points of polynomials and their relation to Brjuno numbers.
Ahlfors regular conformal dimension of visual spheres corresponding to expanding Thurston maps.
Ahlfors regular conformal dimension and critical exponent of associated combinatorial modulus.
"Expanding Thurston maps and visual spheres", Graduate Analysis Seminar, University of Illinois at Urbana-Champaign, February 2021
"Douady’s Conjecture in Complex Dynamics", Graduate Analysis Seminar, University of Illinois at Urbana-Champaign, September 2020
"Complex dynamics and quasiconformal maps", Graduate Analysis Seminar, University of Illinois at Urbana-Champaign, March 2020
"Quasiconformal and quasisymmetric maps on metric spaces", Graduate Analysis Seminar, University of Illinois at Urbana-Champaign, September 2019
"Dvoretzky’s theorem and applications", Part III Analysis Talks , University of Cambridge, December 2018