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Education

Jan. 2010Jan. 2014

Doctor of Philosophy, Applied Mathematics

University of Waterloo, Department of Applied Mathematics
Sep. 2011Dec. 2013

Certificate in University Teaching

University of Waterloo, Centre for Teaching Excellence
Sep. 2007Apr. 2009

Master of Science /course-based/, Applied Mathematics

McMaster University, School of Computational Science and Engineering
Sep. 1999Jun. 2004

Bachelor / Master of Science, Applied Mathematics

Eötvös Loránd University, Institute of Mathematics

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

Aug. 1998May 1999

Bachelor of Engineering, Aerospace Engineering

Purdue University, College of Engineering

Awards

May 2004

Outstanding Student Award, Applied Mathematics

Eötvös Loránd University, Institute of Mathematics

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

May 2004

Scientific Student Conference Award

Eötvös Loránd University, Institute of Mathematics

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

Jan. 1999May 1999

Honors Student

Purdue University, College of Engineering Honors

Research Projects

Jan. 2016present

Computational Resolution of the KCE Inverse Problem

York University, Centre for Research on Biomolecular Interactions

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

Feb. 2014Dec. 2015

Generalization of the Fractal Potentials Model

University of Waterloo, Department of Applied Mathematics /partly/

Independent research involving Fractal Analysis and Functional Analysis.

Jan. 2010Jan. 2014

On the Geometry of IFS Fractals and its Applications

University of Waterloo, Department of Applied Mathematics

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

Sep. 1999Apr. 2004

On Composite Moduli from the Viewpoint of Idempotent Numbers

Eötvös Loránd University, Institute of Mathematics

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

Publications

Submitted / in preparation

A Fast Stable Discretization of the Constant - Convection - Diffusion - Reaction Equations of Kinetic Capillary Electrophoresis (KCE),  J. Vass,  S.N. Krylov
Status:  Submitted.  /16 ps, postdoctoral/

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

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

On the Exact Convex Hull of IFS Fractals*
Status:  Submitted.  /38 ps, includes PhD and post-PhD work/

Fractal Potentials of the Laplace and Wave Equations
Status:  In preparation.  /~15 ps, all post-PhD work/

Published

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. 323329.  /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, World Scientific, Vol. 22, No. 4, 1450014.  /2014, 8 ps, PhD/
Remarks:  leading journal in the field;  Benoît B. Mandelbrot,  Honorary Editor Emeritus;  IF 2015: 1.412.

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.

Conferences

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/

*  Papers without an author given were single-authored.

Academic Experience

Jan. 2016present

Postdoctoral Fellow

York University, Centre for Research on Biomolecular Interactions
Jan. 2015Dec. 2015

Online Educator

InstaEDU.com
Jan. 2014Dec. 2014

Lecturer

University of Waterloo, Faculty of Mathematics
  • Math 116 - Calculus 1 for Engineering.
  • 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/.
Jan. 2010Dec. 2013

Teaching Assistant  /Tutorial/

University of Waterloo, Faculty of Mathematics
  • 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.
Jan. 2010Dec. 2013

Teaching Assistant  /Marking/

University of Waterloo, Faculty of 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.
Jan. 2008Dec. 2008

Teaching Assistant /Tutorial/

McMaster University, School of Computational Science and Engineering
  • SE 3IO3 - Communication Skills for Engineers.
  • ME 2B03 - Engineering Measurements.
Sep. 2002Dec. 2002

Teaching Assistant /Tutorial/

Eötvös Loránd University, Institute of Mathematics
  • Calculus 1 for Mathematics and Computer Science majors.

Other Experience

Feb. 2007Aug. 2007

Statistical Data Analyst

Etalon Gas, Hungary

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

Jul. 2004Aug. 2007

English Teacher /ESL/

Freelancer, Hungary

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

Sep. 2003Oct. 2003

Statistician Programmer Intern

General Electric Lighting, Hungary
Jul. 2002Aug. 2002

Statistician Programmer Intern

General Electric Lighting, Hungary

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

Oct. 2001Jun. 2002

English Translator

Budapest Magic Magazine, Hungary

Translating articles to English about tourism in Hungary.

Jul. 2000Aug. 2000

Data Entry Analyst

Nestlé, Hungary

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

Organizing Experience

Conference Sessions

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

Talks

Conferences

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, Conference on Applied Mathematics, Modeling and 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

Seminars

Computational Resolution of the KCE Inverse Problem
Event:  Huaxiong Huang Group Seminar
Location:  Aug. 4, 2017, Fields Institute for Research in Mathematical Sciences, Toronto, Canada

Resolution of the KCE Inverse Problem to Arbitrary Accuracy for Fixed and Variable Initial Conditions
Event:  Sergey N. Krylov Lab Seminar, Centre for Research on Biomolecular Interactions, Faculty of Science
Location:  Mar. 1, 2017, York University, Toronto, Canada

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

Workshops

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

Software

Academic Packages

KCESolvers | Direct and Inverse Solver for the Parametrized KCE Equations
Location:  Jan. 2016 - present, York University, Canada
Language
:  MatLab and C++
Fields
:  Partial Differential Equations, Numerical Analysis, Optimization

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

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

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

Industrial Packages

Statistical Analysis of Production Data
Location:  Jul. 2002 - Aug. 2002, Sep. 2003 - Oct. 2003, General Electric Lighting, Hungary
Language
:  Excel Visual Basic
Field
:  Statistics

Skills

Operating systems:  Windows, Mac OS, Linux.
Mathematical / scientific platforms:
 MatLab, Scilab, Maple, Mathematica, R, COMSOL.
Programming languages:  C, C++, Fortran, Excel Visual Basic.
Webdesign:  HTML, CSS, Wordpress, Google Blogger.

Softwares:  MS Word, Excel, Powerpoint, LaTeX / WinEdt.
Graphics softwares:  Photoshop, Autodesk AutoCAD / Inventor / AliasStudio, DAZ Studio, Sculptris.
Languages:  English /IELTS General 8.0/9.0/, German /basic/, Spanish /basic/, Hungarian /native/.

Miscellaneous