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Benjamin Dyhr

Professor of Mathematics and Statistics

Mathematics & Statistics

Office Hours

Spring 2026 Office Hours:
Mon. and Tues. 10:15-11:45am, Thurs. 2-3pm

Biography

I was born in Minnesota. I attended Reno High School in Reno, Nevada before attending undergraduate school in Flagstaff, Arizona and pursuing a career in pure and applied mathematics.

Research Interests

    My research is in probability, real and complex analysis, and stochastic processes. In particular, I study 2-dimensional stochastic processes in the plane that haves scaling limits that are invariant with respect to conformal transformations. I also do some more practical work and research in actuarial sciences and mathematical education.

Teaching Interests

    I am primarily interested in theory and applications of analysis, probability and statistics. Sub-fields of interest include but are not limited to calculus, linear algebra, complex analysis and stochastic processes.

Education

PhD in Mathematics

University of Arizona

MS in Applied Mathematics

Northwestern University

BS in Mathematics

Northern Arizona University

Personal Website

https://sites.msudenver.edu/bdyhr

Published Works

    Dyhr, B. (2026). Review of "On Loewner chains driven by semimartingales and complex Bessel-type SDEs." Margarint, Vlad; Shekhar, Atul; Yuan, Yizheng, Ann. Appl. Probab. 34 (2024), no. 6, 5258–5286. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2025). Review of "Schnyder woods, SLE(16), and Liouville quantum gravity." Li, Yiting; Sun, Xin; Watson, Samuel S., Trans. Amer. Math. Soc. 377 (2024), no. 4, 2439--2493. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2024). Review of "Local KPZ behavior under arbitrary scaling limits." Chatterjee, Sourav, Comm. Math. Phys. 396 (2022), no. 3, 1277--1304. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2024). Review of "Universality of the time constant for 2D critical first-passage percolation." Damron, Michael; Hanson, Jack; Lam, Wai-Kit, Ann. Appl. Probab. 33 (2023), no. 3, 1701–1731. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2023). Review of "Brownian loops and the central charge of a Liouville random surface." Ang, Morris; Park, Minjae; Pfeffer, Joshua; Sheffield, Scott, Ann. Probab. 50 (2022), no. 4, 1322--1358. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2023). Review of "Simple conformal loop ensembles on Liouville quantum gravity." Miller, Jason; Sheffield, Scott; Werner, Wendelin, Ann. Probab. 50 (2022), no. 3, 905--949. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2023). Review of "Time-reversal of multiple-force-point SLE(κ, ρ) with all force points lying on the same side." Zhan, Dapeng, Ann. Inst. Henri Poincaré Probab. Stat. 58 (2022), no. 1, 489--523. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2022). Review of "To fixate or not to fixate in two-type annihilating branching random walks." Ahlberg, Daniel; Griffiths, Simon; Janson, Svante, Ann. Probab. 49 (2021), no. 1, 2637--2667. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2022). Review of "On the uniqueness of global multiple SLEs." Beffara, Vincent; Peltola, Eveliina; Wu, Hao, Ann. Probab. 49 (2021), no. 1, 400--434. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2022). Review of "Continuity of zero-hitting times of Bessel processes and welding homeomorphisms of SLE(kappa)." Beliaev, Dmitry; Margarint, Vlad; Shekhar, Atul, ALEA Lat. Am. J. Probab. Math. Stat. 18 (2021), no. 1, 69--79. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2021). Review of "The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds." Ding, Jian; Gwynne, Ewain, Comm. Math. Phys. 374 (2020), no. 3, 1877--1934. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2020). Review of "Multipoint estimates for radial and whole-plane SLE." by Mackey, Benjamin; Zhan, Dapeng, J. Stat. Phys. 175 (2019), no. 5, 879--903. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2020). Review of "A distance exponent for Liouville quantum gravity." Gwynne, E.; Holden, N.; Sun, X., Probab. Theory Related Fields 173 (2019), no. 3-4, 931–997. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2019). Review of "Connection probabilities for conformal loop ensembles." Miller, J.; Werner, W., Comm. Math. Phys. 362 (2018), no. 2, 415–453. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2019). Review of "CLE percolations." Miller, J.; Sheffield, S.; Werner, W., Forum Math. Pi 5 (2017), e4, 102 pp. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2018). Review of "Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees." Miller, J.; Sheffield, S., Probab. Theory Related Fields 169 (2017), no. 3-4, 729–869. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2018). Book review of "Stochastic modeling." Lanchier, N., Universitext. Springer, Cham, 2017. xiii+303 pp. ISBN: 978-3-319-50037-9; 978-3-319-50038-6. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2018). Review of "Level lines of Gaussian free field I: Zero-boundary GFF." Wang, M.; Wu, H., Stochastic Process. Appl. 127 (2017), no. 4, 1045–1124. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2017). Reprinted review of "Discrete complex analysis on isoradial graphs." Chelkak, D.; Smirnov, S., Adv. Math. 228 (2011), no. 3, 1590–1630. Bulletin of the American Mathematical Society, http://dx.doi.org/10.1090/bull/1578 Dyhr, B. (2017). Review of "Imaginary geometry III: reversibility of SLEκ for κ∈(4,8)." Miller, J.; Sheffield, S., Ann. of Math. (2) 184 (2016), no. 2, 455–486. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2017). Review of "Imaginary geometry II: reversibility of SLEκ(ρ1;ρ2) for κ∈(0,4)." Miller, J.; Sheffield, S., Ann. Probab. 44 (2016), no. 3, 1647–1722. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2017). Review of "Imaginary geometry I: interacting SLEs." Miller, J.; Sheffield, S., Probab. Theory Related Fields 164 (2016), no. 3-4, 553–705. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2016). Review of "Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line." Lawler, G. F., J. Math. Soc. Japan 67 (2015), no. 4, 1631–1669. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2016). Review of "Some locally self-interacting walks on the integer." Erschler, A.; Tóth, B.; Werner, W., Probability in complex physical systems, 313–338, Springer Proc. Math., 11, Springer, Heidelberg, 2012. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2016). Reprinted review of "Universality in the 2D Ising model and conformal invariance of fermionic observables." Chelkak, D.; Smirnov, S., Invent. Math. 189 (2012), no. 3, 515–580. Bulletin of the American Mathematical Society, http://dx.doi.org/10.1090/bull/1529 Dyhr, B. (2015). Review of "Escape probability and transience for SLE." Field, L. S.; Lawler, G. F., Electron. J. Probab. 20 (2015), no. 10, 14 pp. American Mathematical Society Mathematical Reviews databaseR, www.ams.org/mathscinet/ Dyhr, B. (2015). Review of "On the continuity of SLEκ in κ." Johansson Viklund, F.; Rohde, S.; Wong, C., Probab. Theory Related Fields 159 (2014), no. 3-4, 413–433. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2015). Review of "Convergence of loop erased random walks on a planar graph to a chordal SLE(2) curve." Suzuki, H., Kodai Math. J. 37 (2014), no. 2, 303–329. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2015). Review of "Almost sure multifractal spectrum for the tip of an SLE curve." Johansson Viklund, F.; Lawler, G. F., Acta Math. 209 (2012), no. 2, 265–322. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2014). Review of "Some partial results on the convergence of loop-erased random walk to SLE(2) in the natural parametrization." Alberts, T.; Kozdron, M. J.; Masson, R., J. Stat. Phys. 153 (2013), no. 1, 119–141. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2014). Review of "Pivotal, cluster, and interface measures for critical planar percolation." Garban, C.; Pete, G.; Schramm, O., J. Amer. Math. Soc. 26 (2013), no. 4, 939–1024. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2014). Review of "Some remarks on SLE bubbles and Schramm's two-point observable." Beliaev, D.; Johansson V., Comm. Math. Phys. 320 (2013), no. 2, 379–394. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2014). Review of "Hadamard's formula and couplings of SLEs with free field." Izyurov, K.; Kytölä, K., Probab. Theory Related Fields 155 (2013), no. 1-2, 35–69. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2013). Review of "The Green function for the radial Schramm-Loewner evolution." Alberts, T.; Kozdron, M.; Lawler, G. F., J. Phys. A 45 (2012), no. 49, 494015, 17 pp. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2013). Review of "Universality in the 2D Ising model and conformal invariance of fermionic observables." Chelkak, D.; Smirnov, S., Invent. Math. 189 (2012), no. 3, 515–580. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2013). Review of "Observation of SLE(κ,ρ) on the critical statistical models." Najafi, M. N.; Moghimi-Araghi, S.; Rouhani, S., J. Phys. A 45 (2012), no. 9, 095001, 12 pp. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2012). Review of "Löwner evolution driven by a stochastic boundary point." Ivanov, G.; Vasil'ev, A., Anal. Math. Phys. 1 (2011), no. 4, 387–412 . American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2012). Review of "Scaling limits and the Schramm-Loewner evolution." Lawler, G. F., Probab. Surv. 8 (2011), 442–495. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B. (2012). Review of "Discrete complex analysis on isoradial graphs." Chelkak, D.; Smirnov, S., Adv. Math. 228 (2011), no. 3, 1590–1630. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/ Dyhr, B., Gilbert, M., Lawler, G., Kennedy, T., Passon, S. (2011). The Self-Avoiding Walk Spanning a Strip. Journal of Statistical Physics, 144(1), 1-22. www.springerlink.com/content/0022-4715/144/1/.