35 °C and even 40 °C were reported as temperatures surpassing the growth of microalgae, The optimal growth temperature for common laboratory strains of microalgae varies among different species and related to natural growth conditions.
Patel A, Matsakas L, Rova U, Christakopoulos P. A perspective on biotechnological applications of thermophilic microalgae and cyanobacteria. Bioresource Technology. Volume 278, April 2019, Pages 424-434. https://doi.org/10.1016/j.biortech.2019.01.063
Historically, Drs. T. D. Brock (University of Wisconsin) and R. W. Castenholtz (University of Oregon) have contributed a great deal to what is known about thermophilic cyanobacteria. Two examples of their past publications: Thermophilic Microorganisms and Life at High Temperatures (https://link.springer.com/book/10.1007/978-1-4612-6284-8) Thermophilic blue-green algae and the thermal environment (https://www.ncbi.nlm.nih.gov/pmc/articles/PMC408317/?page=1)
I have a controversial view on this subject. Although many papers point to specific strains as thermotolerant, I think most species can grow at high temperatures as long as a slow acclimatization is performed.