Mark Kot  |  Education  |  Research  |  Publications  |  Courses  |  Lab  |  Links  
 
     

Mark Kot


Associate Professor of Applied Mathematics






Address: Department of Applied Mathematics
Box 353925
University of Washington
Seattle, WA 98195-3925
Phone: (206) 543-0908
Fax: (206) 685-1440
Email: mark_kot@comcast.net




Education







Ph.D. (1987) - Ecology and Evolutionary Biology
University of Arizona, Tucson, Arizona
M.S. (1987) - Ecology an Evolutionary Biology
University of Arizona, Tucson, Arizona
M.S. (1984) - Applied Mathematics
University of Arizona, Tucson, Arizona
M.S. (1979) - Theoretical and Applied Mechanics
Cornell University, Ithaca, New York
B.A. (1977) - Physics/Applied Mathematics
New College, Sarasota, Florida

Research


My research is at the interface between applied mathematics and ecology and evolutionary biology. I model the dynamics of biological populations, use mathematics to shed light on the abundance and distribution of biological populations, and use biology to motivate interesting mathematical problems.

In recent years, my research has centered on integrodifference equations. These are discrete-time, continuous-space models for the growth and spread of biological populations. Integrodifference equations readily incorporate a range of dispersal mechanisms. They appear to be both more flexible and more realistic than simple reaction-diffusion models. Integrodifference equations are extremely useful for modeling biological invasions and for modelling the effects of climate change.

In addition to my long-standing interest in integrodifference equations, I am also interested in understanding how simple ecological models can give rise to complex or chaotic dynamics and in a broad range of other ecological and evolutionary models and analyses.




Publications






Books


  • Kot, M. 2014.
    A First course in the Calculus of Variations.
    American Mathematical Society, Providence, Rhode Island, USA, ix + 298 pp.
    
    
    
  • Kot, M. 2001.
    Elements of Mathematical Ecology.
    Cambridge University Press, Cambridge, UK, x + 453 pp.
    (2nd corrected printing in 2003)
    
    
    
    
    
    

Submitted Papers



  • Kot, M. and Phillips, A. 2014.
    Bounds for the critical speed of climate-driven moving-habitat models.
    Submitted for publication.
    
    
    
    
    
    

Published Papers




Courses


I have taught a variety of undergraduate and graduate courses at the University of Washington.
These courses include:







Amath 351: Introduction to Differential Equations and Applications
Amath 353: Fourier Analysis and Partial Differential Equations
Amath 383: Introduction to Continuous Mathematical Modeling
Amath 401: Vector Calculus and Complex Variables
Amath 402: Methods for Ordinary Differential Equations
Amath 422: Introduction to Mathematical Biology
Amath 423: Stochastic Models in Mathematical Biology
Amath 501: Vector Calculus and Complex Variables
Amath 504: Mathematical Biology II
Amath 507: Calculus of Variations
Amath 522: Introduction to Mathematical Biology
Amath 535: Mathematical Ecology
Amath 536: Spatial Models in Ecology & Epidemiology

Amath 351

Amath 351 is:

  • Introduction to Differential Equations and Applications

Please see



Amath Courses


for the course web page.

Amath 353

Amath 353 is:

  • Fourier Analysis and Partial Differential Equations

Please see



Amath Courses


for the course web page.

Amath 383

Amath 383 is:

  • Introduction to Continuous Mathematical Modeling

Please see



Amath Courses


for the course web page.

Amath 401

Amath 401 is:

Amath 402

Amath 402 is:

  • Methods for Ordinary Differential Equations

Please see



Amath Courses


for the course web page.

Amath 422

Amath 422 is:

  • Introduction to Mathematical Biology

Amath 423

Amath 423 is:

  • Mathematical Biology: Stochastic Models

Please see



Amath Courses


for the course web page.

Amath 501

Amath 501 is:

Amath 504

AMath 504 is:

Amath 507

Amath 507 is:

Amath 521

Amath 521 is:

  • Mathematical Ecology

Please see



Amath Courses


for the course web page.

Amath 522

Amath 522 is:

  • Introduction to Mathematical Biology

Amath 535

Amath 535 is:

Amath 536

Amath 536 is:

Lab


The Kot lab page is located at



Kot lab page


Links


Interesting links:




Programs

Graduate students can work with me through either one of two graduate programs:




Meetings

Here are some scientific meetings that I have enjoyed or that I will soon attend:



99th Annual ESA, Sacramento, California


97th Annual ESA, Portland, Oregon


North American Paleontological Convention, Cincinnati, Ohio


American Ornithologists' Union, Laramie, Wyoming


American Ornithologists' Union, Portland, Oregon


Spatial Ecology, Columbus, Ohio


Special Session on Mathematical Ecology, Lincoln, Nebraska


Mathematical Models for Biological Invasions, Banff, Canada


Retreat on Mathematical Ecology and Evolution, Banff, Canada


Dynamics of Structured Populations, Banff, Canada


89th Annual ESA, Portland, Oregon


XII International Congress of Entomology, Brisbane, Australia


XIX International Congress of Genetics, Melbourne, Australia


Genetics of Speciation, Vancouver, Canada