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Kenneth M. Golden

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Kenneth Golden
NationalityAmerican
Alma materDartmouth College
New York University
Known forMathematics of Sea Ice
Awards
Scientific career
FieldsApplied mathematics
Geomathematics
Composite Materials
InstitutionsRutgers University
Princeton University
University of Utah
Thesis Bounds for Effective Parameters of Multicomponent Media by Analytic Continuation  (1984)
Doctoral advisorGeorge C. Papanicolaou
Websitehttps://www.math.utah.edu/~golden/

Kenneth Morgan Golden (born September 30, 1958) is an American applied mathematician and Distinguished Professor of Mathematics at the University of Utah, where he is also an adjunct professor of Biomedical Engineering. He works on modeling sea ice and its role in Earth’s climate and polar marine ecosystems. Golden has been on nineteen expeditions to study the physics and biology of sea ice in the Arctic and Antarctic.

Education and Training

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Golden’s interest in sea ice began in high school, studying satellite images of Antarctic sea ice with Jay Zwally at NASA’s Goddard Space Flight Center. While majoring in math and physics at Dartmouth College, he worked at the US Army Cold Regions Research and Engineering Laboratory from 1977 to 1980 with Steve Ackley on measuring sea ice thickness with radar, treating sea ice as a composite of pure ice with brine inclusions. This work led to his 1984 Ph.D. from NYU in Mathematics with George Papanicolaou on the transport properties of composite materials.

Golden studied diffusion processes and quasiperiodic media as a National Science Foundation (NSF) Mathematical Sciences Postdoctoral Fellow with Joel Lebowitz at Rutgers University. As an assistant professor of Mathematics at Princeton University from 1987 to 1991, Golden continued working in mathematical physics, and then moved to the University of Utah as an associate professor in 1991.

Research and Career

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As a material, sea ice exhibits complex composite structure on many length scales.[1] Golden’s interests range from the brine microstructure to ice pack dynamics on the scale of the Arctic Ocean, and from sea ice algae to polar bears.[2] For example, the fluid permeability of sea ice, which depends on the porous microstructure, regulates the evolution of melt ponds on the surface of Arctic sea ice as well as fluxes of nutrients that fuel algae blooms. Golden and colleagues found that sea ice has a percolation threshold,[3] a critical porosity or temperature that must be exceeded for brine pathways to form and fluid to flow, and used percolation theory to accurately predict the permeability.[4] The melt ponds determine sea ice reflectance or albedo, a key parameter in climate modeling. As the ponds grow and complexify, they undergo a transition in fractal geometry.[5] The 100 year old Ising model, originally developed to understand magnetic materials, was adapted to accurately predict melt pond geometry.[6] These works are improving projections of Earth’s sea ice covers and the ecosystems they support,[7] and represent principal examples of how statistical physics is contributing to sea ice modeling and prediction.[8]

Golden is interested not only in how the physics of sea ice affects the life it hosts, but in how the presence of life impacts sea ice. For example, sea ice algae secrete exopolymeric substances to help them live in their extreme surroundings. But this alters the brine microstructure[9] and the fluid permeability.[10] On the other hand, sea ice is locally highly variable. Parameters in models of algal dynamics must be treated as random variables. Such models have been solved using methods of uncertainty quantification.[11]

Sea ice microstructure shares similarities with many natural and artificial materials. Modeling sea ice often advances other fields. Examples of this cross pollination include developing new materials with exotic properties such as twisted bilayer composites,[12] a theory of electromagnetic transport in polycrystalline media,[13] and a novel way of monitoring osteoporosis.[14]

During his years at the University of Utah, Golden has led several federally funded, multi-disciplinary, multi-institution projects, as well as successful efforts to hire faculty working in the mathematics of materials and related areas.[2] He has mentored over 100 young researchers, from high school and undergraduate to Ph.D. and postdoctoral, with many assisting in field experiments in Antarctica and the Arctic.[15] Golden has given over 500 invited lectures on six continents, including four presentations to the U.S. Congress, and won awards for teaching, mentoring, and science communication.

Media and Movies

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Golden’s research and public lectures have been covered by media around the world, including Science,[16] Scientific American,[17] Physics Today,[18] Popular Mechanics,[19] and the BBC.[20] He’s been interviewed on radio, television, and online, and featured in short films produced by the NSF,[21][22] the Society for Industrial and Applied Mathematics,[23] NBC News, and the University of Utah.[24]

For a math professor, Golden has had some unusual connections to well-known movies. Mathematician John Nash (1928-2015) attended a 1987 lecture on “Nash estimates”[25] that Golden gave at Princeton. After that the two met periodically over the next several years. Nash later won the 1994 Nobel Prize in Economics and became the subject of the Academy Award winning film “A Beautiful Mind.” Savant Kim Peek (1951-2009) of Salt Lake City, the inspiration for the 1989 Oscar winner “Rain Man,” appeared with Golden in two TV shows (in the US and Japan), working on math problems together. In another twist, a San Diego Tribune article[26] about Golden’s Porter Public Lecture at the 2013 Joint Math Meetings recounted a few of his dangerous polar experiences. It noted that he was “a kind of mathematical Indiana Jones,” which was echoed in a Scientific American article[27] about his 2014 public lecture at the Museum of Mathematics in New York City.

Honors

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References

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  1. ^ Golden, Kenneth M.; Bennetts, Luke G.; Cherkaev, Elena; Eisenman, Ian; Feltham, Daniel; Horvat, Christopher; Hunke, Elizabeth; Jones, Christopher; Perovich, Donald K.; Ponte-Castañeda, Pedro; Strong, Courtenay; Sulsky, Deborah; Wells, Andrew J. (November 2020). "Modeling Sea Ice" (PDF). Notices of the American Mathematical Society: 1535–1555.
  2. ^ a b "KENNETH M GOLDEN - Home - Faculty Profile - The University of Utah". faculty.utah.edu. Retrieved 2024-06-25.
  3. ^ Golden, K. M.; Ackley, S. F.; Lytle, V. I. (1998-12-18). "The Percolation Phase Transition in Sea Ice". Science. 282 (5397): 2238–2241. Bibcode:1998Sci...282.2238G. doi:10.1126/science.282.5397.2238. ISSN 0036-8075. PMID 9856942.
  4. ^ Golden, K.M.; Eicken, H.; Heaton, A.L.; Minor, J.; Pringle, D.J.; Zhu, J. (August 2007). "Thermal evolution of permeability and microstructure in sea ice". Geophysical Research Letters. 34 (16): 1–6. Bibcode:2007GeoRL..3416501G. doi:10.1029/2007GL030447.
  5. ^ Hohenegger, C.; Alali, B.; Steffen, K. R.; Perovich, D. K.; Golden, K. M. (2012-10-19). "Transition in the fractal geometry of Arctic melt ponds". The Cryosphere. 6 (5): 1157–1162. Bibcode:2012TCry....6.1157H. doi:10.5194/tc-6-1157-2012. ISSN 1994-0416.
  6. ^ Ma, Yi-Ping; Sudakov, Ivan; Strong, Courtenay; Golden, Kenneth M. (June 21, 2019). "Ising model for melt ponds on Arctic sea ice". New Journal of Physics. 21 (6). arXiv:1408.2487. doi:10.1088/1367-2630/ab26db.
  7. ^ Golden, Kenneth M. (May 2009). "Climate Change and the Mathematics of Transport in Sea Ice" (PDF). Notices of the American Mathematical Society. 56 (5): 562–584.
  8. ^ Banwell, Alison F.; Burton, Justin C.; Cenedese, Claudia; Golden, Kenneth; Åström, Jan (July 12, 2023). "Physics of the cryosphere". Nature Reviews Physics. 5 (8): 446–449. Bibcode:2023NatRP...5..446B. doi:10.1038/s42254-023-00610-2. ISSN 2522-5820.
  9. ^ Krembs, Christopher; Eicken, Hajo; Deming, Jody W. (February 14, 2011). "Exopolymer alteration of physical properties of sea ice and implications for ice habitability and biogeochemistry in a warmer Arctic". Proceedings of the National Academy of Sciences. 108 (9): 3653–3658. doi:10.1073/pnas.1100701108. ISSN 0027-8424. PMC 3048104. PMID 21368216.
  10. ^ Steffen, Kyle R.; Epshteyn, Yekaterina; Zhu, Jingyi; Bowler, Megan J.; Deming, Jody W.; Golden, Kenneth M. (January 2018). "Network Modeling of Fluid Transport Through Sea Ice with Entrained Exopolymeric Substances". Multiscale Modeling & Simulation. 16 (1): 106–124. doi:10.1137/17M1117513. ISSN 1540-3459.
  11. ^ Reimer, Jody R.; Adler, Frederick R.; Golden, Kenneth M.; Narayan, Akil (September 2022). "Uncertainty quantification for ecological models with random parameters". Ecology Letters. 25 (10): 2232–2244. Bibcode:2022EcolL..25.2232R. doi:10.1111/ele.14095. ISSN 1461-023X. PMID 36068942.
  12. ^ Morison, David; Murphy, N. Benjamin; Cherkaev, Elena; Golden, Kenneth M. (2022-06-14). "Order to disorder in quasiperiodic composites". Communications Physics. 5 (1): 148. Bibcode:2022CmPhy...5..148M. doi:10.1038/s42005-022-00898-z. ISSN 2399-3650.
  13. ^ Gully, A.; Lin, J.; Cherkaev, E.; Golden, K. M. (February 2015). "Bounds on the complex permittivity of polycrystalline materials by analytic continuation". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471 (2174): 20140702. Bibcode:2015RSPSA.47140702G. doi:10.1098/rspa.2014.0702. ISSN 1364-5021. PMC 4309131. PMID 25663811.
  14. ^ Golden, Kenneth M.; Murphy, Benjamin N.; Cherkaev, Elena (2011-01-11). "Spectral analysis and connectivity of porous microstructures in bone". Journal of Biomechanics. Bone Tissue: Hierarchical Simulations for Clinical Applications. 44 (2): 337–344. doi:10.1016/j.jbiomech.2010.10.029. ISSN 0021-9290. PMID 21094945.
  15. ^ "Kenneth Golden - The Mathematics Genealogy Project". www.mathgenealogy.org. Retrieved 2024-06-25.
  16. ^ Mackenzie, Dana (April 3, 2009). "Cold Equations: A Profile of Ken Golden" (PDF). Science Magazine. pp. 32–33.
  17. ^ Sloman, Leila (July 24, 2019). "Magnet and Neuron Model Also Predicts Arctic Sea Ice Melt". Scientific American. Retrieved 2024-06-27.
  18. ^ Feder, Toni (29 March 2016). "What is a mathematical physicist doing out in the cold?". Physics Today (3). doi:10.1063/PT.5.9055. Retrieved 2024-06-27.
  19. ^ Bernhard, Adrienne (June 15, 2023). "How Atomic-Scale Geometry Might Shape the Future of Electronics". Popular Mechanics.
  20. ^ "Counting on mathematicians to help save the planet". Counting on mathematicians to help save the planet. Retrieved 2024-06-27.
  21. ^ "Multimedia Gallery - Mathematician combines love for numbers and sea ice to forecast melting | NSF - National Science Foundation". www.nsf.gov. January 13, 2014. Retrieved 2024-06-25.
  22. ^ "Discoveries - Video - Join Ken Golden on a Polar adventure as he explores the mathematics of what's going on in sea ice | NSF - National Science Foundation". www.nsf.gov. 2015. Retrieved 2024-06-25.
  23. ^ Society for Industrial and Applied Mathematics (September 2017). Math Behind Sea Ice & Our Changing Planet. Retrieved 2024-06-25 – via YouTube.
  24. ^ University of Utah (2021-02-25). A Math Professor in Antarctica? | University of Utah Climate Change Research. Retrieved 2024-06-25 – via YouTube.
  25. ^ Golden, K.; Goldstein, S.; Lebowitz, J. L. (1988). "Nash Estimates and the Asymptotic Behavior of Diffusions". The Annals of Probability. 16 (3): 1127–1146. ISSN 0091-1798. JSTOR 2244112.
  26. ^ Brennan, Deborah Sullivan (2013-01-11). "Mathematician stepping on thin ice". San Diego Union-Tribune. Retrieved 2024-06-25.
  27. ^ Giller, Geoffrey (March 13, 2014). "Mathematical Patterns in Sea Ice Reveal Melt Dynamics". Scientific American. Retrieved 2024-06-25.
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