- PO 57183, 2 King St W, Hamilton, ON, L8P4X1
- +1 (905) 906 - 3579
- [email protected], [email protected]

*Specializations*: 1. Optimization / Operations Research; 2. Algebra and Number Theory.

- PO 57183, 2 King St W, Hamilton, ON, L8P4X1
- +1 (905) 906 - 3579
- [email protected], [email protected]

*Specializations*: 1. Optimization / Operations Research; 2. Algebra and Number Theory.

Awarded for studies and research annually per programme. Equivalent to summa cum laude.

Awarded for qualifying papers submitted to the conference of the Institute, held on Nov. 26, 2003.

Research involving Numerical Analysis and Optimization, while programming in MatLab and C++.

Research requiring Fractal Geometry and Analysis, Functional Analysis, Algorithms, and Visualization.

Research in Number Theory begun as an undergraduate, which became my master's thesis.

**Estimating Kinetic Rate Constants and Plug Concentration Profiles from Simulated KCE Electropherogram Signals**, J. Vass, S.N. Krylov*Status*: To be submitted; arXiv: 1707.07851. /14 ps, postdoctoral/

**A Computational Resolution of the Inverse Problem of Kinetic Capillary Electrophoresis (KCE)**, J. Vass, S.N. Krylov*Status*: To be submitted; arXiv: 1707.07852. /10 ps, postdoctoral/

**Fractal Potentials of the Laplace and Wave Equations** /no author given means single-authored/*Status*: In preparation; presented. /~15 ps, PhD and post-PhD/

**On the Exact Convex Hull of IFS Fractals**

**A Fast Stable Discretization of the Constant - Convection - Diffusion - Reaction Equations of Kinetic Capillary Electrophoresis (KCE)**, J. Vass, S.N. Krylov*Published in*: Applied Numerical Mathematics, Vol. 122, Dec. 2017, p. 82-91. /2017, 10 ps, postdoctoral/*Remark*: 5-year IF: 1.250.

**A Generalization of Euler’s Criterion to Composite Moduli***Published in*: Notes on Number Theory and Discrete Mathematics, Vol. 22, No. 3, p. 9-19. /2016, 11 ps, MSc/*Remarks*: Paul Erdős, Founding Editor; Index Copernicus Value (ICV) 2012: 5.48.

**Apollonian Circumcircles of IFS Fractals***Published in*: Forum Geometricorum, Vol. 16, p. 323–329. /2016, 7 ps, PhD/*Remarks*: A leading journal in Classical Geometry; John H. Conway, Journal Advisor.

**On Intersecting IFS Fractals with Lines***Published in*: Fractals, Vol. 22, No. 4, 1450014. /2014, 8 ps, PhD, see remarks above/

**Geodesics of the Structural Similarity Index**, D. Brunet, J. Vass, E.R. Vrscay, Z. Wang*Published in*: Applied Mathematics Letters, Vol. 25, p. 1921–1925. /2012, 5 ps, side project during PhD/*Remark*: IF 2015: 1.659.

**Solution of a Simple Case of the Navier-Stokes Equations via Employing the Lambert W Function***Refereed for*: Scientific Student Conference, Eötvös Loránd University. /2003, 6 ps, undergraduate/

**Fractal Potential Flows: An Idealized Model for Fully Developed Turbulence***Remarks*: The 3rd paper above is based on the theory in this paper; arXiv: 1301.1380. /2012, 28 ps, PhD/

**Limits and Mean Value Theorems for Real-Valued Functions in Hilbert Spaces***Remarks*: First draft. /2002, 17 ps, undergraduate/

**On the Geometry of IFS Fractals and its Applications**

PhD Thesis, University of Waterloo. /2013, 116 ps/

**On Composite Moduli from the Viewpoint of Idempotent Numbers**

MSc Thesis, Eötvös Loránd University. /2004, 44 ps/

- Math 116 - Calculus 1 for Engineering /Sep. - Dec. 2012/.
- Math 127 - Calculus 1 for the Sciences /coordinator/.
- Math 138 - Calculus 2 For Honours Mathematics.
- Math 228 - Differential Equations for Physics and Chemistry /coordinator/.
- Math 237 - Calculus 3 for Honours Mathematics /twice/.

- Math 127 - Calculus 1 for the Sciences /twice/.
- Math 135 - Algebra for Honours Mathematics.
- Math 217 - Calculus 3 for Chemical Engineering.
- AMath 231 - Calculus 4 /twice/.
- Math 235 - Linear Algebra 2 for Honours Mathematics.

- Math 211 - Advanced Calculus 1 for Electrical and Computer Engineering.
- Math 212n - Advanced Calculus 2 for Nanotechnology Engineering.
- AMath 332 - Applied Complex Analysis /twice/.
- AMath 351 - Ordinary Differential Equations 2.

- SE 3IO3 - Communication Skills for Engineers.
- ME 2B03 - Engineering Measurements.

- Calculus 1 for Mathematics and Computer Science majors.

Forecast analysis of national gas usage data with Advantica Forecaster. Consulting done for E.ON Hungary, after training at Advantica HQ /UK/.

Teaching evening classes at various language schools in Budapest including Dover, NovoSchool, Concord, and Shimoda Language Schools.

Programming project to specifications. Extracting and analyzing database data in Excel Visual Basic, with documented statistical implementation.

Translating articles to English about tourism in Hungary.

Entering, graphing, and analyzing data in MS Excel from surveys conducted by the company.

**Fractal Geometry, Analysis, and Applications***Event*: 2016 Winter Meeting of the Canadian Mathematical Society*Role*: Corresponding Organizer /Co-Organizer: Franklin Mendivil/*Location*: Dec. 2-5, 2016, Sheraton on the Falls, Niagara Falls, Canada

**Computational Resolution of the Inverse Problem of Kinetic Capillary Electrophoresis (KCE) to Arbitrary Accuracy**

**Fractal Potentials of the Laplace and Wave Equations***Event*: 2016 Winter Meeting of the Canadian Mathematical Society*Session*: Fractal Geometry, Analysis, and Applications*Location*: Dec. 2-5, 2016, Sheraton on the Falls, Niagara Falls, Canada

**Minimization of the Inverse Problem Error between the Solutions of the KCE Equations and Experimental Data***Event*: 2016 Winter Meeting of the Canadian Mathematical Society*Session*: Large Scale Optimization: Theory, Algorithms and Applications /in memoriam Jonathan Borwein/*Location*: Dec. 2-5, 2016, Sheraton on the Falls, Niagara Falls, Canada

**On the Exact Convex Hull of IFS Fractals***Event*: 2014 Winter Meeting of the Canadian Mathematical Society*Session*: Frames, Fractals, Tiling, and Wavelets, in Connection with the Fuglede's Conjecture*Location*: Dec. 5-8, 2014, Sheraton Hotel, Hamilton, Canada

**The Inverse Problem of Fractal Potential Flows***Event*: AMMCS-2013, International Conference on Applied Mathematics, Modeling & Computational Science*Session*: Applied Analysis & Inverse Problems*Location*: Aug. 26-30, 2013, Wilfrid Laurier University, Waterloo, Canada

**Fractal Geometry via Containment, and the Exact Convex Hull of C-Type IFS Fractals***Event*: 2013 Summer Meeting of the Canadian Mathematical Society*Session*: Analysis, Geometry and Topology on Fractals, Wavelets and Self-Similar Tilings*Location*: Jun. 4-7, 2013, Dalhousie University, Halifax, Canada

**An Exact Model of Fully Developed Turbulence***Event*: 2012 Winter Meeting of the Canadian Mathematical Society*Session*: Applied Mathematics*Location*: Dec. 7-10, 2012, Fairmont Queen Elizabeth, Montreal, Canada

**Idempotent Numbers and the Solvability of x^k ≡ a (mod m)****Solution of a Simple Case of the Navier-Stokes Equations via Employing the Lambert W Function***Event*: 2003 Scientific Student Conference*Location*: Nov. 26, 2003, Eötvös Loránd University, Hungary

**Computational Resolution of the KCE Inverse Problem**

**Resolution of the KCE Inverse Problem to Arbitrary Accuracy for Fixed and Variable Initial Conditions**

**A Generalization of Euler’s Criterion to Composite Moduli***Event*: York Number Theory Seminar, Department of Mathematics and Statistics*Location*: Nov. 11, 2016, York University, Toronto, Canada

**Towards a Numerical Resolution of the KCE Inverse Problem to Arbitrary Accuracy***Event*: Sergey N. Krylov Lab Seminar, Centre for Research on Biomolecular Interactions, Faculty of Science*Location*: May 4, 2016, York University, Toronto, Canada

**A Constructive Approach to the Convex Hull of IFS Fractals in the Plane, and its Generalization***Event*: Fractal Geometry Seminar, Department of Pure Mathematics*Location*: Feb. 10, 2016, University of Waterloo, Waterloo, Canada

**Transverse Diffusion of Laminar Flow Profiles — an Overview***Event*: Sergey N. Krylov Lab Seminar, Centre for Research on Biomolecular Interactions, Faculty of Science*Location*: Nov. 16, 2015, York University, Toronto, Canada

**Modeling 2D Flow Fields with Fractal Potential Flows and its Generalization***Event*: Applied and Industrial Mathematical Sciences Laboratory Seminar, Department of Mathematics*Location*: Sep. 22, 2015, McMaster University, Hamilton, Canada

**On the Geometry of IFS Fractals and its Applications***Event*: PhD Defence Presentation, Department of Applied Mathematics*Location*: Dec. 17, 2013, University of Waterloo, Waterloo, Canada

**On the Geometry of IFS Fractals and its Applications***Event*: PhD Thesis Proposal Presentation, Department of Applied Mathematics*Location*: Aug. 15, 2011, University of Waterloo, Waterloo, Canada

**On the Geometry of IFS Fractals and its Applications***Event*: PhD Comprehensive Seminar, Department of Applied Mathematics*Location*: May 20, 2011, University of Waterloo, Waterloo, Canada

**Fractals and Optimization***Event*: Advanced Optimization Lab (AdvOL) Seminar, School of Computational Science and Engineering*Location*: Dec. 3, 2007, McMaster University, Hamilton, Canada

**COMSOL Workshop***Location*: Jan. 20, 2016, McMaster University, Hamilton, Canada

**GAP 2011 — Conference on Connections in Geometry and Physics***Location*: May 13-15, 2011, Fields Institute, Toronto, Canada

**KCESolvers | Direct and Inverse Solver for the Parametrized KCE Equations***Location*: Jan. 2016 - Oct. 2017, York University, Canada*Language*:

Fields

**Cantoresque | Visualization of Fractal Potential Flows***Location: *Dec. 2011 - Dec. 2013, University of Waterloo, Canada* Language*:

**Cantoresque | The Convex Hull of 2D IFS Fractals***Location*: Jan. 2010 - Dec. 2013, University of Waterloo, Canada* Language*:

**IdeRegNums | Idempotent and Regular Numbers***Location*: Sep. 2002 - Jun. 2004, Eötvös Loránd University, Hungary* Language*:

**Statistical Analysis of Production Data***Location*: Jul. 2002 - Aug. 2002, Sep. 2003 - Oct. 2003, General Electric Lighting, Hungary* Language*:

**Operating systems:** Windows, Mac OS, Linux.**Mathematical / scientific platforms:** MatLab, Scilab, Maple, Mathematica, R, COMSOL.

**Memberships:** Canadian Applied and Industrial Mathematics Society (CAIMS-SCMAI) /since Oct. 2017/, Canadian Association of Postdoctoral Scholars /since Feb. 2017/, Canadian Mathematical Society /since May 2016/, János Bolyai Mathematical Society /since Nov. 2016/.**Collaboration distances:** Erdős (4), Gauss (7), Mandelbrot (3).**Profiles:** arXiv.org, GitHub, ResearchGate, Academia.edu, ORCID, zbMATH, MathSciNet, RateMyProfessors.

- Research Summary, Teaching Portfolio.
- References available upon request.

Machine Learning Specialization** **/University of Washington; Python/,** **Machine Learning /Stanford University; MATLAB/, Neural Networks for Machine Learning /University of Toronto; MATLAB/, R Programming /Johns Hopkins University; R/.

Specialization via reading the literature during the writing of my PhD thesis.

**Optimization**:** **Algorithms for Constrained Optimization /CES 722/, Algorithms for Unconstrained Optimization /CES 723/, Convex Optimization in Engineering /CES 735/, Engineering Optimization /CES 710/.

**Computational Methods**:** **Advanced Computational Methods & Models /CES 702/, Advanced Statistics & Computational Methods I /CES 711/, Foundations of Modern Scientific Programming /CES 701/, Development of Scientific Computing Software /CES 741/.

**Miscellaneous**:** **Introduction to Hydrodynamics /CES 716/, Solid Surface Modeling Techniques /CES 724/.

**Optimization**:** **Linear Optimization /2 terms/, Non-Linear Optimization /2 terms/, Multi-Target Function Optimization, Continuous Optimization Seminar /2 terms/, Game Theory.

**Operations Research**:** **Models of Operation Research, Softwares of Operation Research, Stochastic Programming, Macroeconomics and Equilibrium Theory.

**Miscellaneous**:** **Algorithmic Geometry /2 terms/, Simulations, Application of Mathematical Models, Application of Mathematical Models in Practice.

Computer Algebra /2 terms/, Computational Number Theory, Coding Theory.