Nathaniel Karst

Associate Professor

Academic Division: Math & Science
781-239-5508

Bio

Dr. Nathan Karst received his B.S. in electrical and computer engineering from Franklin W. Olin College of Engineering in 2007 and his doctorate in applied mathematics from Cornell in 2011. He is an avid teacher and researcher, having won the Dean’s Award for Excellence in Undergraduate Teaching in 2014 and the Dean’s Award for Excellence in Scholarship in 2015. Most recently, his research has focused on the role of nonlinear dynamics in microvascular networks and various problems in surface hydrology.

Academic Degrees

  • Ph D, Cornell University
  • BS, Franklin W. Olin College of Engineering

Academic Interests

Applied mathematics Business analytics Python, R, Matlab programming Cryptography and information theory

Awards & Honors

  • 2016 - “Variability in streamflow recession”, Faculty Research Fund, Babson College
  • 2015 - Dean’s Award for Excellence in Scholarship, Babson College
  • 2015 - “Spiral wave formation in fairy ring fungi”, Faculty Research Fund, Babson College
  • 2014 - Dean’s Award for Excellence in Undergraduate Teaching, Babson College
  • 2014 - “Oscillations and spontaneous flow reversal in a simple fluid network”, Faculty Research Fund, Babson College
  • 2013 - “Cryptology in context”, Teaching Innovation Fund, Babson College
  • 2012 - Project NExT (New Experiences in Teaching) Fellow, Mathematical Association of America
  • 2007 - Integrative Graduate Education and Research Traineeship (IGERT), National Science Foundation
  • 2003 - Franklin W. Olin full tuition scholarship, Franklin W. Olin Foundation

Courses

Degree Courses 2016-2017

  • QTM 7571: BUS INTEL ANALYTICS VISUALIZATION
  • QTM 2600: LINEAR ALGEBRA & DYNAMICAL SYS

Degree Courses 2015-2016

  • QTM 3674: CRYPTOLOGY/CODING/THEORY
  • QTM 6100: BIG DATA AND DATA ANALYTICS

Publications

Journal Articles

  • Khachatryan, D., Karst, N.J. (2017). V for Voice: Strategies for Bolstering Communication Skills in Statistics. Kindai Management Review link
  • Dralle, D., Karst, N.J., Muller, M., Vico, G., Thompson, S. (2017). Stochastic modelling of inter-annual variation of hydrologic variables: Application to stream total discharge and net catchment suspended sediment export. Geophysical Research Letters link
  • Karst, N.J., Langowitz, J., Oehrlein, J., Troxell, D.S. (2017). Radio k-Chromatic Number of Cycles for Large k. Discrete Mathematics, Algorithms and Applications, 09(03) link
  • Beaudouin-Lafon, M., Chen, S., Karst, N.J., Troxell, D.S. (2017). Labeling crossed prisms with a condition at distance two. Involve: a journal of mathematics link
  • Karst, N.J., Geddes, J., Carr, R. (2017). Model Microvascular Networks Can Have Many Equilibria. Bulletin of Mathematical Biology, 79(3), 662–681. link
  • Dralle, D., Karst, N.J., Charalampous, K., Thompson, S., (2017). Event-scale power law recession analysis: Quantifying methodological uncertainty. Hydrology and Earth System Sciences link
  • Karst, N.J., Dralle, D., Thompson, S. (2016). Spiral and rotor patterns produced by fairy ring fungi. PLoS ONE, 11(3) link
  • Dralle, D., Karst, N.J., Thompson, S. (2016). Dry season streamflow persistence in seasonal climates. Water Resources Research, 52(1), 90–107. link
  • Dralle, D., Karst, N.J., Thompson, S. (2015). a, b careful: The challenge of scale invariance for comparative analyses in power law models of the streamflow recession. Geophysical Research Letters, 42(21), 9285-9293. link
  • Karst, N.J., Geddes, J., Storey, B. (2015). Oscillations and Multiple Equilibria in Microvascular Blood Flow. Bulletin of Mathematical Biology, 77(7), 1377-1400. link
  • Karst, N.J., Oehrlein, J., Troxell, D.S., Zhu, J. (2015). L(d,1)-labeling of the edge-path-replacement by factorization of graphs. Journal of Combinatorial Optimization, 30(1), 34-41. link
  • Karst, N.J., Oehrlein, J., Troxell, D.S., Zhu, J. (2015). On distance labelings of amalgamations and injective labelings of general graphs. Involve: a journal of mathematics, 8(3), 535–540. link
  • Storey, B., Hellen, D., Karst, N.J., Geddes, J. (2015). Observations of spontaneous oscillations in simple two-fluid networks. Physical Review E: covering statistical, nonlinear, biological, and soft matter physics, 91(2), 5. link
  • Karst, N.J., Oeherlein, J., Troxell, D.S., Zhu, J. (2015). The minimum span of L(2, 1)-labelings of generalized flowers. Discrete Applied Mathematics, 181, 139–151. link
  • Karst, N.J., Oehrlein, J., Troxell, D.S., Zhu, J. (2014). Labeling amalgamations of Cartesian products of complete graphs with a condition at distance two. Discrete Applied Mathematics, 178(11), 101-108. link
  • Karst, N.J., Storey, B.D., Geddes, J.B. (2014). Spontaneous Oscillations in Simple Fluid Networks. SIAM Journal on Applied Dynamical Systems, 13(1), 157-180. link
  • Montovana , K.J., Karst, N.J., Jones, L.E., Seeley, T.D. (2013). Local behavioral rules sustain the cell allocation pattern in the combs of honey bee colonies (Apis mellifera). Journal of Theoretical Biology, 336(7), 75-86. link
  • Adams, S.S., Howell, N., Karst, N.J., Troxell, D.S., Zhu , J. (2013). On the L(2,1)-labelings of amalgamations of graphs. Discrete Applied Mathematics, 161(7-8), 881-888. link
  • Karst, N.J., Wicker, S. (2012). On the Rekeying load in group key distribution systems using cove-free families. IEEE Transactions on Information Theory, 52(10), 6667-6671. link
  • Adams, S., Davis, J., Karst, N.J., Murugan, M., Lee, B., Crawford, M., Greeley, C. (2011). Novel classes of minimal delay and low PAPR rate-1/2 complex orthogonal designs. IEEE Transactions on Information Theory, 57, 2254-2262. link
  • Adams, S., Karst, N.J., Murugan, M., Wysocki, T. (2011). On transceiver signal linearization and the decoding delay of maximum rate complex orthogonal space-time block codes. IEEE Transactions on Information Theory, 57(6), 3618-3621. link
  • Adams, S., Karst, N.J., Murugan, M. (2010). The final case of the decoding delay problem for maximum rate complex orthogonal designs. IEEE Transactions on Information Theory, 56, 103-113. link
  • Karst, N.J. (2008). Quaternion orthagonal designs from complex companion designs . Linear Algebra and Its Applications, 428(4), 1056–1071. link
  • Adams, S., Karst, N.J., Pollack, J. (2007). The minimum decoding delay of maximum rate complex orthogonal designs. IEEE Transactions on Information Theory link
  • Geddes, J., Carr, R., Karst, N.J., Wu, F. (2007). The onset of oscillations in microvascular blood flow. SIAM Journal on Applied Dynamical Systems, 6(4), 694–727. link

Book Chapters

  • Karst, N.J., Slegers, R.M. (2015). I am not a statistic (even if everyone else is): a cross-disciplinary activity. In V. L. Crittenden, K. Esper, N. Karst, R. Slegers (Ed.), Evolving Entrepreneurial Education: Innovation in the Babson Classroom .
  • Karst, N.J., Wicker, S.B. (2012). Secure Key Distribution and Revocation for Advanced Metering Infrastructure. In S. Sitharama Iyengar and Richard R. Brooks (Ed.), Distributed Sensor Networks, Second Edition: Image and Sensor Signal Processing. Boca Raton, FL: CRC Press

Presentations

  • Innovations in Undergraduate Business Education
    Crittenden, V., Beitelspacher, L., Greenberg, D., Karst, N. Innovations in Undergraduate Business Education 2017 Innovations in Undergraduate Business Education Conference, New Jersey (2017)
  • Spectrum allocation and graph labelings
    Karst, N. Spectrum allocation and graph labelings Guest Lecture, Olin College (2017)
  • I'm not a statistic (even if everyone else is)
    Karst, N. I'm not a statistic (even if everyone else is) Marketing Management Association Fall Educators' Conference, Providence, RI (2016)
  • The minimum span of L(2,1)-labelings of generalized flowers
    Karst, N., Oehrlein, J., Troxell, D., Zhu, J. The minimum span of L(2,1)-labelings of generalized flowers 2016 Joint Mathematics Meetings, Seattle, WA (2016)
  • Data Analytics for Non-STEM Majors (in the Age of Big Data)
    Khachatryan, D., Karst, N. Data Analytics for Non-STEM Majors (in the Age of Big Data) Joint Mathematics Meetings, Seattle, WA (2016)
  • Eliminating a Confounding Factor in Power Law Parameter Interpretation
    Karst, N., Dralle, D., Thompson, S. Eliminating a Confounding Factor in Power Law Parameter Interpretation American Geophysical Union, San Francisco, CA (2015)
  • Spiral and rotor patterns produced by fairy ring fung
    Karst, N., Dralle, D., Thompson, S. Spiral and rotor patterns produced by fairy ring fung American Geophysical Union, San Francisco, CA (2015)
  • Spectrum allocation and graph labelings: why research is awesome
    Karst, N. Spectrum allocation and graph labelings: why research is awesome Discrete Mathematics guest lecture, Needham, MA (2014)
  • From blood flow to lava: the mathematics of oscillating fluids
    Karst, N. From blood flow to lava: the mathematics of oscillating fluids Wellesley College Mathematics Colloquium Series, Wellesley, MA (2014)
  • Oscillations and spontaneous flow reversal in a simple fluid network
    Karst, N. Oscillations and spontaneous flow reversal in a simple fluid network Babson Faculty Research Chat, Wellesley, MA (2014)
  • Ideation exercise
    Karst, N. Ideation exercise Babson Faculty Learn & Share, Wellesley, MA (2014)
  • The Transition from a Lecture Based to an Activity Based Classroom: Lessons Learned and Recommendations
    Rybolt, W., Recck, G., Karst, N. The Transition from a Lecture Based to an Activity Based Classroom: Lessons Learned and Recommendations 26th International Conference on Technology in Collegiate Mathematics, San Antonio, TX (2014)
  • L(d,1)-labelings of the edge-path-replacement by factorization of graphs
    Karst, N., Oehrlein, J., Troxell, D., Zhu, J. L(d,1)-labelings of the edge-path-replacement by factorization of graphs 2014 Joint Mathematics Meetings, Baltimore, MD (2014)
  • On the L(2,1)-labelings of amalgamations of graphs
    Adams, S., Howell, N., Karst, N., Troxell, D., Zhu, J. On the L(2,1)-labelings of amalgamations of graphs 2014 Joint Mathematics Meetings, Baltimore, MD (2014)
  • Spontaneous oscillations in simple fluid networks
    Karst, N. Spontaneous oscillations in simple fluid networks 2014 Joint Mathematics Meetings, Baltimore, MD (2014)
  • When "catastrophic" means "not that bad"
    Karst, N. When "catastrophic" means "not that bad" BOW Applicable Mathematics Series , Olin College (2012)
  • Combinatorial designs for key distribution and secure rekeying in group communication systems
    Karst, N. Combinatorial designs for key distribution and secure rekeying in group communication systems , Cornell University (2011)
  • Security, Scheduling, and Statistics: Some Applications of Combinatorial Designs
    Karst, N. Security, Scheduling, and Statistics: Some Applications of Combinatorial Designs , Babson College (2011)