{"id":1723,"date":"2021-12-16T21:02:59","date_gmt":"2021-12-17T02:02:59","guid":{"rendered":"https:\/\/magazine.mcs.cmu.edu\/math\/?page_id=1723"},"modified":"2023-12-20T15:14:24","modified_gmt":"2023-12-20T20:14:24","slug":"2021-issue","status":"publish","type":"page","link":"https:\/\/magazine.mcs.cmu.edu\/math\/2021-issue\/","title":{"rendered":"2021 Issue"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.16&#8243; background_image=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2021\/12\/img_bkgd_cover.jpg&#8221; module_alignment=&#8221;center&#8221; height=&#8221;643px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row _builder_version=&#8221;4.16&#8243; background_size=&#8221;initial&#8221; background_position=&#8221;top_left&#8221; background_repeat=&#8221;repeat&#8221; custom_margin=&#8221;157px||||false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2021\/12\/logo_convergence.png&#8221; alt=&#8221;convergence&#8221; title_text=&#8221;convergence&#8221; align=&#8221;center&#8221; align_tablet=&#8221;&#8221; align_phone=&#8221;center&#8221; align_last_edited=&#8221;on|phone&#8221; _builder_version=&#8221;4.16&#8243; animation_style=&#8221;zoom&#8221; animation_duration=&#8221;2000ms&#8221; global_colors_info=&#8221;{}&#8221;]<br \/>\n[\/et_pb_image][et_pb_text _builder_version=&#8221;4.16&#8243; header_font=&#8221;||||||||&#8221; header_text_align=&#8221;right&#8221; header_text_color=&#8221;#ffffff&#8221; animation_style=&#8221;zoom&#8221; animation_duration=&#8221;1800ms&#8221; animation_delay=&#8221;1000ms&#8221; header_text_shadow_style=&#8221;preset2&#8243; header_text_shadow_blur_strength=&#8221;0.2em&#8221; header_text_shadow_color=&#8221;#000000&#8243; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1 style=\"text-align: center;\">2021<\/h1>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.16&#8243; background_enable_image=&#8221;off&#8221; parallax=&#8221;on&#8221; custom_padding=&#8221;30px|0px|30px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;7px|0px|5px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; link_font=&#8221;|600|||||||&#8221; link_text_color=&#8221;#192957&#8243; header_3_font=&#8221;||on|on|||||&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h3><a href=\"\/math\/2021-issue\/dept-head-letter\/\">Letter from Department Head, Prasad Tetali<\/a><\/h3>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2021\/12\/img_toc_dept-head-ltr.jpg&#8221; alt=&#8221;dept-head-ltr&#8221; title_text=&#8221;dept-head-ltr&#8221; url=&#8221;\/math\/2021-issue\/dept-head-letter\/&#8221; align_tablet=&#8221;center&#8221; align_phone=&#8221;&#8221; align_last_edited=&#8221;on|desktop&#8221; _builder_version=&#8221;4.16&#8243; max_width=&#8221;60%&#8221; module_alignment=&#8221;center&#8221; box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;7px|0px|5px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; link_font=&#8221;|600|||||||&#8221; link_text_color=&#8221;#192957&#8243; header_3_font=&#8221;||on|on|||||&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h3><a href=\"\/math\/2021-issue\/faculty-notes\/\">Faculty Notes<\/a><\/h3>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2021\/12\/img_toc_fac-notes.jpg&#8221; alt=&#8221;fac-notes&#8221; title_text=&#8221;fac-notes&#8221; url=&#8221;\/math\/2021-issue\/fac-notes\/&#8221; align_tablet=&#8221;center&#8221; align_phone=&#8221;&#8221; align_last_edited=&#8221;on|desktop&#8221; _builder_version=&#8221;4.16&#8243; max_width=&#8221;60%&#8221; module_alignment=&#8221;center&#8221; box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;7px|0px|6px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; link_font=&#8221;|600|||||||&#8221; link_text_color=&#8221;#192957&#8243; header_3_font=&#8221;||on|on|||||&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h3><a href=\"\/math\/2021-issue\/staff-news\/\">Staff News<\/a><\/h3>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2021\/12\/img_toc_staff-news.jpg&#8221; alt=&#8221;staff-news&#8221; title_text=&#8221;staff-news&#8221; url=&#8221;\/math\/2021-issue\/staff-news\/&#8221; align_tablet=&#8221;center&#8221; align_phone=&#8221;&#8221; align_last_edited=&#8221;on|desktop&#8221; _builder_version=&#8221;4.16&#8243; max_width=&#8221;60%&#8221; module_alignment=&#8221;center&#8221; box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;7px|0px|6px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; link_font=&#8221;|600|||||||&#8221; link_text_color=&#8221;#192957&#8243; header_3_font=&#8221;||on|on|||||&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h3><a href=\"\/math\/2021-issue\/volatility-surface\/\">Reasearch Feature: Volatility Surface<\/a><\/h3>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2021\/12\/img_toc_research.jpg&#8221; alt=&#8221;research&#8221; title_text=&#8221;research&#8221; url=&#8221;\/math\/2021-issue\/volatility-surface\/&#8221; align_tablet=&#8221;center&#8221; align_phone=&#8221;&#8221; align_last_edited=&#8221;on|desktop&#8221; _builder_version=&#8221;4.16&#8243; max_width=&#8221;60%&#8221; module_alignment=&#8221;center&#8221; box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;7px|0px|6px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; 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box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row column_structure=&#8221;1_2,1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;7px|0px|6px|0px|false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_text _builder_version=&#8221;4.16&#8243; link_font=&#8221;|600|||||||&#8221; link_text_color=&#8221;#192957&#8243; header_3_font=&#8221;||on|on|||||&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h3><a href=\"\/math\/2021-issue\/student-stories\/\">Student Stories<\/a><\/h3>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;1_2&#8243; _builder_version=&#8221;4.16&#8243; custom_padding=&#8221;|||&#8221; global_colors_info=&#8221;{}&#8221; custom_padding__hover=&#8221;|||&#8221;][et_pb_image src=&#8221;https:\/\/magazine.mcs.cmu.edu\/math\/wp-content\/uploads\/sites\/2\/2021\/12\/img_toc_student-stories.jpg&#8221; alt=&#8221;student-stories&#8221; title_text=&#8221;student-stories&#8221; url=&#8221;\/math\/2021-issue\/student-stories\/&#8221; align_tablet=&#8221;center&#8221; align_phone=&#8221;&#8221; align_last_edited=&#8221;on|desktop&#8221; _builder_version=&#8221;4.16&#8243; max_width=&#8221;60%&#8221; module_alignment=&#8221;center&#8221; box_shadow_style=&#8221;preset2&#8243; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.21.0&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#E0E0E0&#8243; border_width_all=&#8221;1px&#8221; box_shadow_style=&#8221;preset3&#8243; global_colors_info=&#8221;{}&#8221; global_module=&#8221;2819&#8243; theme_builder_area=&#8221;post_content&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.21.0&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221; theme_builder_area=&#8221;post_content&#8221;][et_pb_text _builder_version=&#8221;4.21.0&#8243; 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