 Okay, looks like the number of people joining is slowed down a little bit, so maybe just get started with some preliminary announcements and then we'll start with the first talk. Right, so welcome everybody. Thank you guys all for being here. This is the second iteration of our, our series graduate online anything. We're going to talk about anthropology and geometry. So maybe just like to take a second to introduce ourselves. So I will start with my co organizer, Sarah Blackwell, turn it over to you Sarah. Hi, I'm Sarah, I'm a grad student at the University of Georgia. I just wanted to take a minute at the beginning of this to acknowledge the current events happening in the United States, namely the protests against police violence in response to the murder of George Floyd and many other black men women. And so we don't have any, we didn't really know exactly what to say, but we wanted to acknowledge the pain and angrily right now. And to help or want educational resources there's tons of compilations floating around, and you can, or you can ask me to send you some links, I think to be tracked. So, but thanks for being here. And so I'm Zach Garza. I really do just want to echo what Sarah said, I think that, you know, especially right now, you know, a lot of mathematics departments and universities are kind of being silent in this moment and I think we would just be remiss to not say anything. So I don't really want to make this a political platform by any means. But, you know, we just want to acknowledge that things are happening right now is pandemic, witnessing these outrageous and terrifying acts of violence across the United States. Social unrest. There's a lot of xenophobic legislation against international students to go to the Chinese graduate students. And this is just the smallest so I just felt it was important that we state that we condemn these acts and we express our solidarity for people that are going through these things. We want to affirm that black lives do matter. And we just hope that people in similar positions within our profession will step up and do the same. It's just it's hard to expect any level of normalcy right now. So we just want to acknowledge that it's extremely difficult to think about anything math related. And we want to express our thanks to all of the speakers for agreeing to come speak today and also to all of you either here now, or watching this online afterward for supporting them. I think this will be really important going forward. I just can't imagine the huge variety and complexity of issues that people are facing and we just appreciate everyone's interest in continuing to do events like this. And sort of build these support networks just as we go forward. So thank you all again for your interest and for attending and thanks again to the speakers.